{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T00:50:41Z","timestamp":1773967841421,"version":"3.50.1"},"reference-count":49,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T00:00:00Z","timestamp":1648684800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T00:00:00Z","timestamp":1648684800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1007\/s12190-022-01728-9","type":"journal-article","created":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T07:02:46Z","timestamp":1648710166000},"page":"4777-4794","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Dynamical behavior of a fractional-order prey\u2013predator model with infection and harvesting"],"prefix":"10.1007","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1296-6235","authenticated-orcid":false,"given":"Mahmoud","family":"Moustafa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Farah Aini","family":"Abdullah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sharidan","family":"Shafie","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,3,31]]},"reference":[{"key":"1728_CR1","doi-asserted-by":"crossref","first-page":"1100","DOI":"10.3390\/math7111100","volume":"7","author":"A Suryanto","year":"2019","unstructured":"Suryanto, A., Darti, I., Panigoro, H., Kilicman, A.: A fractional-order predator-prey model with ratio-dependent functional response and linear harvesting. Mathematics 7, 1100 (2019)","journal-title":"Mathematics"},{"key":"1728_CR2","first-page":"122","volume":"302","author":"S Khajanchi","year":"2017","unstructured":"Khajanchi, S.: Modeling the dynamics of stage-structure predator-prey system with Monod-Haldane type response function. Appl. Math. Comput. 302, 122\u2013143 (2017)","journal-title":"Appl. Math. Comput."},{"key":"1728_CR3","first-page":"159","volume":"313","author":"K Nosrati","year":"2017","unstructured":"Nosrati, K., Shafiee, M.: Dynamic analysis of fractional-order singular Holling type-II predator-prey system. Appl. Math. Comput. 313, 159\u2013179 (2017)","journal-title":"Appl. Math. Comput."},{"key":"1728_CR4","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.mbs.2018.11.004","volume":"307","author":"F Zhang","year":"2019","unstructured":"Zhang, F., Chen, Y., Li, J.: Dynamical analysis of a stage-structured predator-prey model with cannibalism. Math. Biosci. 307, 33\u201341 (2019)","journal-title":"Math. Biosci."},{"key":"1728_CR5","doi-asserted-by":"crossref","unstructured":"Das, M., Samanta, G.P.: A prey-predator fractional order model with fear effect and group defense. Int. J. Dyn. Control 1\u201316 (2020)","DOI":"10.1007\/s40435-020-00626-x"},{"key":"1728_CR6","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.chaos.2017.05.010","volume":"100","author":"SN Raw","year":"2017","unstructured":"Raw, S.N., Mishra, P., Kumar, R., Thakur, S.: Complex behavior of prey-predator system exhibiting group defense: a mathematical modeling study. Chaos Solitons Fractals 100, 74\u201390 (2017)","journal-title":"Chaos Solitons Fractals"},{"key":"1728_CR7","doi-asserted-by":"crossref","first-page":"1553","DOI":"10.1007\/s11071-016-3133-2","volume":"87","author":"S Biswas","year":"2017","unstructured":"Biswas, S., Sasmal, S.K., Samanta, S., Saifuddin, M., Pal, N., Chattopadhyay, J.: Optimal harvesting and complex dynamics in a delayed eco-epidemiological model with weak Allee effects. Nonlinear Dyn. 87, 1553\u20131573 (2017)","journal-title":"Nonlinear Dyn."},{"key":"1728_CR8","first-page":"700","volume":"115","author":"W Kermack","year":"1927","unstructured":"Kermack, W., Mckendrick, A.: A contribution to the mathematical theory of epidemics. Proc. R. Soc. 115, 700\u2013721 (1927)","journal-title":"Proc. R. Soc."},{"key":"1728_CR9","doi-asserted-by":"crossref","first-page":"806","DOI":"10.1002\/mma.3523","volume":"39","author":"M Saifuddin","year":"2016","unstructured":"Saifuddin, M., Sasmal, S.K., Biswas, S., Sarkar, S., Alquran, M., Chattopadhyay, J.: Effect of emergent carrying capacity in an eco-epidemiological system. Math. Methods Appl. Sci. 39, 806\u2013823 (2016)","journal-title":"Math. Methods Appl. Sci."},{"key":"1728_CR10","doi-asserted-by":"crossref","first-page":"776","DOI":"10.1007\/s40435-018-0492-1","volume":"7","author":"R Almeida","year":"2019","unstructured":"Almeida, R., Cruz, B., Martins, N., Monteiro, T.: An epidemiological MSEIR model described by the Caputo fractional derivative. Int. J. Dyn. Control 7, 776\u2013784 (2019)","journal-title":"Int. J. Dyn. Control"},{"key":"1728_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.14232\/ejqtde.2017.1.1","volume":"2017","author":"J Lee","year":"2017","unstructured":"Lee, J., Baek, H.: Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting. Electron. J. Qual. Theory Differ. Equ. 2017, 1\u201320 (2017)","journal-title":"Electron. J. Qual. Theory Differ. Equ."},{"key":"1728_CR12","unstructured":"\u00c1vila-Vales, E., Estrella-Gonz\u00e1lez, \u00c1., Esquivel, E. R.: Bifurcations of a Leslie Gower predator prey model with Holling type III functional response and Michaelis\u2013Menten prey harvesting. arXiv preprint arXiv:1711.08081 (2017)"},{"key":"1728_CR13","volume-title":"Theory and Applications of Fractional Differential Equations","author":"AA Kilbas","year":"2006","unstructured":"Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)"},{"key":"1728_CR14","first-page":"360","volume":"347","author":"Z Wang","year":"2019","unstructured":"Wang, Z., Xie, Y., Lu, J., Li, Y.: Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition. Appl. Math. Comput. 347, 360\u2013369 (2019)","journal-title":"Appl. Math. Comput."},{"key":"1728_CR15","doi-asserted-by":"crossref","first-page":"106303","DOI":"10.1016\/j.aml.2020.106303","volume":"105","author":"Y Yang","year":"2020","unstructured":"Yang, Y., Xu, L.: Stability of a fractional order SEIR model with general incidence. Appl. Math. Lett. 105, 106303 (2020)","journal-title":"Appl. Math. Lett."},{"key":"1728_CR16","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1016\/j.cam.2018.06.040","volume":"346","author":"D Zhao","year":"2019","unstructured":"Zhao, D., Luo, M.: Representations of acting processes and memory effects: general fractional derivative and its application to theory of heat conduction with finite wave speeds. Appl. Math. Comput. 346, 531\u2013544 (2019)","journal-title":"Appl. Math. Comput."},{"key":"1728_CR17","doi-asserted-by":"crossref","first-page":"6776","DOI":"10.1002\/mma.4490","volume":"40","author":"S Mondal","year":"2017","unstructured":"Mondal, S., Lahiri, A., Bairagi, N.: Analysis of a fractional order eco-epidemiological model with prey infection and type 2 functional response. Math. Methods Appl. Sci. 40, 6776\u20136789 (2017)","journal-title":"Math. Methods Appl. Sci."},{"key":"1728_CR18","first-page":"53","volume":"11","author":"M Moustafa","year":"2021","unstructured":"Moustafa, M., Mohd, M.H., Ismail, A.I., Abdullah, F.A.: Global stability of a fractional order eco-epidemiological system with infected prey. Int. J. Math. Model. Numer. Optim. 11, 53\u201370 (2021)","journal-title":"Int. J. Math. Model. Numer. Optim."},{"key":"1728_CR19","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/s12190-014-0838-6","volume":"49","author":"AA Elsadany","year":"2015","unstructured":"Elsadany, A.A., Matouk, A.E.: Dynamical behaviors of fractional-order Lotka\u2013Volterra predator-prey model and its discretization. J. Appl. Math. Comput. 49, 269\u2013283 (2015)","journal-title":"J. Appl. Math. Comput."},{"key":"1728_CR20","doi-asserted-by":"crossref","first-page":"243","DOI":"10.11594\/jtls.07.03.09","volume":"7","author":"K Nugraheni","year":"2017","unstructured":"Nugraheni, K., Trisilowati, T., Suryanto, A.: Dynamics of a fractional order eco-epidemiological model. J. Trop. Life Sci. 7, 243\u2013250 (2017)","journal-title":"J. Trop. Life Sci."},{"key":"1728_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.chaos.2018.02.008","volume":"109","author":"M Moustafa","year":"2018","unstructured":"Moustafa, M., Mohd, M.H., Ismail, A.I., Abdullah, F.A.: Dynamical analysis of a fractional-order Rosenzweig\u2013MacArthur model incorporating a prey refuge. Chaos Solitons Fractals 109, 1\u201313 (2018)","journal-title":"Chaos Solitons Fractals"},{"key":"1728_CR22","doi-asserted-by":"crossref","first-page":"1597","DOI":"10.1007\/s11071-016-2781-6","volume":"85","author":"AE Matouk","year":"2016","unstructured":"Matouk, A.E., Elsadany, A.A.: Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model. Nonlinear Dyn. 85, 1597\u20131612 (2016)","journal-title":"Nonlinear Dyn."},{"key":"1728_CR23","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1515\/ijnsns-2017-0273","volume":"19","author":"M Sambath","year":"2018","unstructured":"Sambath, M., Ramesh, P., Balachandran, K.: Asymptotic behavior of the fractional order three species prey-predator model. Int. J. Nonlinear Sci. Numer. Simul. 19, 721\u2013733 (2018)","journal-title":"Int. J. Nonlinear Sci. Numer. Simul."},{"key":"1728_CR24","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.chaos.2018.06.009","volume":"113","author":"A Jajarmi","year":"2018","unstructured":"Jajarmi, A., Baleanu, D.: A new fractional analysis on the interaction of HIV with CD4+ T-cells. Chaos Solitons Fractals 113, 221\u2013229 (2018)","journal-title":"Chaos Solitons Fractals"},{"key":"1728_CR25","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1515\/ijnsns-2018-0292","volume":"21","author":"M Moustafa","year":"2019","unstructured":"Moustafa, M., Mohd, M.H., Ismail, A.I., Abdullah, F.A.: Dynamical analysis of a fractional-order Hantavirus infection model. Int. J. Nonlinear Sci. Numer. Simul. 21, 171\u2013181 (2019)","journal-title":"Int. J. Nonlinear Sci. Numer. Simul."},{"key":"1728_CR26","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1080\/02286203.2019.1611311","volume":"39","author":"P Panja","year":"2019","unstructured":"Panja, P.: Dynamics of a fractional order predator-prey model with intraguild predation. Int. J. Model. Simul. 39, 256\u2013268 (2019)","journal-title":"Int. J. Model. Simul."},{"key":"1728_CR27","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1007\/s11071-019-04796-y","volume":"96","author":"HA El-Saka","year":"2019","unstructured":"El-Saka, H.A., Lee, S., Jang, B.: Dynamic analysis of fractional-order predator-prey biological economic system with Holling type II functional response. Nonlinear Dyn. 96, 407\u2013416 (2019)","journal-title":"Nonlinear Dyn."},{"key":"1728_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.18576\/pfda\/050106","volume":"5","author":"M Moustafa","year":"2019","unstructured":"Moustafa, M., Mohd, M.H., Ismail, A.I., Abdullah, F.A.: Stage structure and refuge effects in the dynamical analysis of a fractional order Rosenzweig-MacArthur prey-predator model. Progr. Fract. Differ. Appl. 5, 1\u201316 (2019)","journal-title":"Progr. Fract. Differ. Appl."},{"key":"1728_CR29","doi-asserted-by":"crossref","first-page":"8278","DOI":"10.1016\/j.jfranklin.2019.07.028","volume":"356","author":"X Wang","year":"2019","unstructured":"Wang, X., Wang, Z., Xia, J.: Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders. J. Franklin Inst. 356, 8278\u20138295 (2019)","journal-title":"J. Franklin Inst."},{"key":"1728_CR30","doi-asserted-by":"crossref","first-page":"997","DOI":"10.1109\/TNNLS.2019.2915353","volume":"3","author":"J Jia","year":"2020","unstructured":"Jia, J., Huang, X., Li, Y., Cao, J., Alsaedi, A.: Global stabilization of fractional-order memristor-based neural networks with time delay. IEEE Trans. Neural Netw. Learn. Syst. 3, 997\u20131009 (2020)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"1728_CR31","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1186\/s13662-020-2522-5","volume":"2020","author":"M Moustafa","year":"2020","unstructured":"Moustafa, M., Mohd, M.H., Ismail, A.I., Abdullah, F.A.: Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population. Adv. Differ. Equ. 2020, 48 (2020)","journal-title":"Adv. Differ. Equ."},{"key":"1728_CR32","doi-asserted-by":"crossref","unstructured":"Wang, Z., Wang, X.H., Xia, J.W., Shen, H., Meng, B.: Adaptive sliding mode output tracking control based-FODOB for a class of uncertain fractional-order nonlinear time-delayed systems. Sci. China Technol. Sci. 1\u20139 (2020)","DOI":"10.1007\/s11431-019-1476-4"},{"key":"1728_CR33","first-page":"1","volume":"5","author":"B Meng","year":"2020","unstructured":"Meng, B., Wang, X.H., Zhang, Z., Wang, Z.: Necessary and sufficient conditions for normalization and sliding mode control of singular fractional-order systems with uncertainties. Sci. China Technol. Sci. 5, 1\u201310 (2020)","journal-title":"Sci. China Technol. Sci."},{"key":"1728_CR34","doi-asserted-by":"crossref","first-page":"303","DOI":"10.15388\/NA.2017.3.2","volume":"3","author":"H Li","year":"2017","unstructured":"Li, H., Zhang, L., Hu, C., Jiang, Y., Teng, Z.: Dynamic analysis of a fractional-order single-species model with diffusion. Nonlinear Anal. Model. Control 3, 303\u2013316 (2017)","journal-title":"Nonlinear Anal. Model. Control"},{"key":"1728_CR35","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1007\/s12190-020-01408-6","volume":"65","author":"M Moustafa","year":"2021","unstructured":"Moustafa, M., Mohd, M.H., Ismail, A.I., Abdullah, F.A.: Dynamical analysis of a fractional order eco-epidemiological model with nonlinear incidence rate and prey refuge. J. Appl. Math. Comput. 65, 623\u2013650 (2021)","journal-title":"J. Appl. Math. Comput."},{"key":"1728_CR36","doi-asserted-by":"crossref","first-page":"110062","DOI":"10.1016\/j.chaos.2020.110062","volume":"139","author":"KM Saad","year":"2020","unstructured":"Saad, K.M., G\u00f3mez-Aguilar, J.F., Almadiy, A.A.: A fractional numerical study on a chronic hepatitis C virus infection model with immune response. Chaos Solitons Fractals 139, 110062 (2020)","journal-title":"Chaos Solitons Fractals"},{"key":"1728_CR37","doi-asserted-by":"crossref","first-page":"13","DOI":"10.3390\/fractalfract6010013","volume":"6","author":"M Alqhtani","year":"2022","unstructured":"Alqhtani, M., Saad, K.M.: Fractal-fractional Michaelis\u2013Menten enzymatic reaction model via different kernels. Fractal Fract 6, 13 (2022)","journal-title":"Fractal Fract"},{"key":"1728_CR38","first-page":"79","volume":"27","author":"W Yuquan","year":"2007","unstructured":"Yuquan, W., Laifu, L.: On the dynamics of a food chain with Monod-Haldane functional response. Acta Math. Sci. 27, 79\u201389 (2007)","journal-title":"Acta Math. Sci."},{"key":"1728_CR39","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1016\/j.cnsns.2016.07.016","volume":"44","author":"J Cresson","year":"2017","unstructured":"Cresson, J., Szafra\u0144ska, A.: Discrete and continuous fractional persistence problems-the positivity property and applications. Commun. Nonlinear Sci. Numer. Simul. 44, 424\u2013448 (2017)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"1728_CR40","first-page":"1","volume":"2014","author":"SK Choi","year":"2014","unstructured":"Choi, S.K., Kang, B., Koo, N.: Stability for Caputo fractional differential systems. Abstr. Appl. Anal. 2014, 1\u20136 (2014)","journal-title":"Abstr. Appl. Anal."},{"key":"1728_CR41","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1016\/j.jmaa.2006.01.087","volume":"325","author":"E Ahmed","year":"2007","unstructured":"Ahmed, E., El-Sayed, A., El-Saka, H.A.: Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models. J. Math. Anal. Appl. 325, 542\u2013553 (2007)","journal-title":"J. Math. Anal. Appl."},{"key":"1728_CR42","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-18101-6","volume-title":"Fractional-order Nonlinear Systems: Modeling, Analysis and Simulation","author":"I Petras","year":"2011","unstructured":"Petras, I.: Fractional-order Nonlinear Systems: Modeling, Analysis and Simulation. Springer, Berlin (2011)"},{"key":"1728_CR43","doi-asserted-by":"crossref","first-page":"975","DOI":"10.1016\/j.cnsns.2010.04.027","volume":"16","author":"AE Matouk","year":"2011","unstructured":"Matouk, A.E.: Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol-Duffing circuit. Commun. Nonlinear Sci. Numer. Simul. 16, 975\u2013986 (2011)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"1728_CR44","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1007\/s11071-011-0263-4","volume":"69","author":"MS Abdelouahab","year":"2012","unstructured":"Abdelouahab, M.S., Hamri, N., Wang, J.: Hopf bifurcation and chaos in fractional-order modified hybrid optical system. Nonlinear Dyn. 69, 275\u2013284 (2012)","journal-title":"Nonlinear Dyn."},{"key":"1728_CR45","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/j.chaos.2017.03.014","volume":"99","author":"Z Li","year":"2017","unstructured":"Li, Z., Chen, D., Ma, M., Zhang, X., Wu, Y.: Feigenbaum\u2019s constants in reverse bifurcation of fractional-order R\u00f6ssler system. Chaos Solitons Fractals 99, 116\u2013123 (2017)","journal-title":"Chaos Solitons Fractals"},{"key":"1728_CR46","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1023\/A:1016592219341","volume":"29","author":"K Diethelm","year":"2002","unstructured":"Diethelm, K., Ford, N.J., Freed, A.D.: A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dyn. 29, 3\u201322 (2002)","journal-title":"Nonlinear Dyn."},{"key":"1728_CR47","doi-asserted-by":"crossref","first-page":"1573","DOI":"10.1016\/j.camwa.2009.07.050","volume":"58","author":"C Li","year":"2009","unstructured":"Li, C., Tao, C.: On the fractional Adams method. Comput. Math. Appl. 58, 1573\u20131588 (2009)","journal-title":"Comput. Math. Appl."},{"key":"1728_CR48","doi-asserted-by":"crossref","first-page":"5564","DOI":"10.1002\/mma.6297","volume":"43","author":"S Kumar","year":"2020","unstructured":"Kumar, S., Kumar, R., Agarwal, R.P., Samet, B.: A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods. Math. Methods Appl. Sci. 43, 5564\u20135578 (2020)","journal-title":"Math. Methods Appl. Sci."},{"key":"1728_CR49","doi-asserted-by":"crossref","first-page":"2631","DOI":"10.1137\/19M1306786","volume":"80","author":"P Amorim","year":"2020","unstructured":"Amorim, P.: Predator-prey interactions with hunger structure. SIAM J. Appl. Math. 80, 2631\u20132656 (2020)","journal-title":"SIAM J. Appl. Math."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-022-01728-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12190-022-01728-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-022-01728-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T16:21:35Z","timestamp":1670257295000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12190-022-01728-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,31]]},"references-count":49,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2022,12]]}},"alternative-id":["1728"],"URL":"https:\/\/doi.org\/10.1007\/s12190-022-01728-9","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"value":"1598-5865","type":"print"},{"value":"1865-2085","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,3,31]]},"assertion":[{"value":"31 December 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 February 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 March 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 March 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}}]}}