{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T09:21:27Z","timestamp":1769246487563,"version":"3.49.0"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2020,10,13]],"date-time":"2020-10-13T00:00:00Z","timestamp":1602547200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,10,13]],"date-time":"2020-10-13T00:00:00Z","timestamp":1602547200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s12190-020-01379-8","type":"journal-article","created":{"date-parts":[[2020,10,13]],"date-time":"2020-10-13T14:02:39Z","timestamp":1602597759000},"page":"67-91","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Dynamical response of an eco-epidemiological system with harvesting"],"prefix":"10.1007","volume":"65","author":[{"given":"Harekrishna","family":"Das","sequence":"first","affiliation":[]},{"given":"Absos Ali","family":"Shaikh","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,13]]},"reference":[{"key":"1379_CR1","doi-asserted-by":"crossref","unstructured":"Amalia, R.D., Arif, D.K.: Optimal control of predator-prey mathematical model with infection and harvesting on prey. J. Phys.: Conf. Ser. 974(1), 012050 (2018)","DOI":"10.1088\/1742-6596\/974\/1\/012050"},{"key":"1379_CR2","first-page":"533","volume":"314","author":"RM Anderson","year":"1986","unstructured":"Anderson, R.M., May, R.M.: The invasion, persistence and spread of infectious diseases within animal and plant communities. Phil. Trans. Roy. Soc. B 314, 533\u2013570 (1986)","journal-title":"Phil. Trans. Roy. Soc. B"},{"key":"1379_CR3","doi-asserted-by":"publisher","first-page":"1101","DOI":"10.1088\/0951-7715\/17\/3\/018","volume":"17","author":"O Arino","year":"2004","unstructured":"Arino, O., El Abdllaoul, A., Micram, J., Chattopadhyay, J.: Infection in prey population may act as a biological control in ratio-dependent predator-prey models. Nonlinearity 17, 1101\u20131116 (2004)","journal-title":"Nonlinearity"},{"key":"1379_CR4","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/j.mbs.2008.11.002","volume":"217","author":"N Bairagi","year":"2009","unstructured":"Bairagi, N., Chaudhuri, S., Chattopadhyay, J.: Harvesting as a disease control measure in an eco-epidemiological system\u2013a theoretical study. Math. Biosci. 217, 134\u2013144 (2009)","journal-title":"Math. Biosci."},{"key":"1379_CR5","doi-asserted-by":"publisher","first-page":"3824","DOI":"10.1016\/j.nonrwa.2010.02.012","volume":"11","author":"R Bhattacharyya","year":"2010","unstructured":"Bhattacharyya, R., Mukhopadhyay, B.: On an eco-epidemiological model with prey harvesting and predator switching: local and global perspectives. Nonlinear Anal. Real World Appl. 11, 3824\u20133833 (2010)","journal-title":"Nonlinear Anal. Real World Appl."},{"key":"1379_CR6","doi-asserted-by":"publisher","first-page":"1553","DOI":"10.1007\/s11071-016-3133-2","volume":"87","author":"S Biswas","year":"2017","unstructured":"Biswas, S., Saifuddin, M., Sasmal, S.K., Samanta, S., Pal, N., Ababneh, F.: Chattopadhyay, J: Optimal harvesting and complex dynamics in a delayed eco-epidemiological model with weak Allee effects. Nonlinear Dynam. 87, 1553\u20131573 (2017)","journal-title":"Nonlinear Dynam."},{"issue":"3","key":"1379_CR7","doi-asserted-by":"publisher","first-page":"1569","DOI":"10.1007\/s11071-015-2589-9","volume":"84","author":"S Biswas","year":"2016","unstructured":"Biswas, S., Saifuddin, M., Sasmal, S.K., Samanta, S., Pal, N., Ababneh, F., Chattopadhyay, J.: A delayed prey-predator system with prey subject to the strong Allee effect and disease. Nonlinear Dynam. 84(3), 1569\u20131594 (2016)","journal-title":"Nonlinear Dynam."},{"key":"1379_CR8","volume-title":"Ordinary Differential Equations","author":"G Birkhoff","year":"1982","unstructured":"Birkhoff, G., Rota, G.C.: Ordinary Differential Equations. Ginn, Boston (1982)"},{"key":"1379_CR9","doi-asserted-by":"publisher","DOI":"10.1201\/b20687","volume-title":"Dynamical Systems for Biological Modeling: An Introduction","author":"F Brauer","year":"2015","unstructured":"Brauer, F., Kribs, C.: Dynamical Systems for Biological Modeling: An Introduction. CRC Press, Boca Raton (2015)"},{"key":"1379_CR10","volume-title":"Mathematical Bioeconomics: The Optimal Management of Renewable Resources","author":"CW Clark","year":"1990","unstructured":"Clark, C.W.: Mathematical Bioeconomics: The Optimal Management of Renewable Resources. Wiley, New York (1990)"},{"key":"1379_CR11","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1137\/S0036139994275799","volume":"58","author":"G Dai","year":"1998","unstructured":"Dai, G., Tang, M.: Coexistence region and global dynamics of a harvested predator-prey system. SIAM J. Appl. Math. 58, 193\u2013210 (1998)","journal-title":"SIAM J. Appl. Math."},{"issue":"11","key":"1379_CR12","doi-asserted-by":"publisher","first-page":"2853","DOI":"10.1002\/mma.3735","volume":"39","author":"KP Das","year":"2016","unstructured":"Das, K.P.: A study of harvesting in a predator-prey model with disease in both populations. Math. Methods Appl. Sci. 39(11), 2853\u20132870 (2016)","journal-title":"Math. Methods Appl. Sci."},{"key":"1379_CR13","first-page":"877","volume":"41","author":"TC Gard","year":"1979","unstructured":"Gard, T.C., Hallam, T.G.: Persistece in food webs-I Lotka-Volterra food chains. Bull. Math. Biol. 41, 877\u2013891 (1979)","journal-title":"Bull. Math. Biol."},{"issue":"2","key":"1379_CR14","doi-asserted-by":"publisher","first-page":"1501","DOI":"10.1007\/s11071-016-3326-8","volume":"88","author":"LN Guin","year":"2017","unstructured":"Guin, L.N., Acharya, S.: Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting. Nonlinear Dynam. 88(2), 1501\u20131533 (2017)","journal-title":"Nonlinear Dynam."},{"issue":"3","key":"1379_CR15","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1016\/j.chaos.2011.11.011","volume":"45","author":"GP Hu","year":"2012","unstructured":"Hu, G.P., Li, X.L.: Stability and Hopf bifurcation for a delayed predator-prey model with disease in the prey. Chaos Solitons Fractals 45(3), 229\u2013237 (2012)","journal-title":"Chaos Solitons Fractals"},{"issue":"1\u20132","key":"1379_CR16","first-page":"1","volume":"81","author":"S Jana","year":"2015","unstructured":"Jana, S., Guria, S., Das, U., Kar, T.K., Ghorai, A.: Effect of harvesting and infection on predator in a prey-predator system. Nonlinear Dynam. 81(1\u20132), 1\u201314 (2015)","journal-title":"Nonlinear Dynam."},{"issue":"5","key":"1379_CR17","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1007\/s10483-008-0509-x","volume":"29","author":"JJ Jiao","year":"2008","unstructured":"Jiao, J.J., Chen, L.S., Nieto, J.J., Angela, T.: Permanence and global attractivity of stage-structured predator-prey model with continuous harvesting on predator and impulsive stocking on prey. Appl. Math. Mech. 29(5), 653\u2013663 (2008)","journal-title":"Appl. Math. Mech."},{"issue":"9","key":"1379_CR18","first-page":"489","volume":"7","author":"A Johri","year":"2012","unstructured":"Johri, A., Trivedi, N., Sisodiya, A., Sing, B., Jain, S.: Study of a prey-predator model with disease prey. Int. J. Contemp. Math. Sci. 7(9), 489\u2013498 (2012)","journal-title":"Int. J. Contemp. Math. Sci."},{"key":"1379_CR19","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1016\/j.apm.2016.10.003","volume":"42","author":"S Kant","year":"2017","unstructured":"Kant, S., Kumar, V.: Stability analysis of predator-prey system with migrating prey and disease infection in both specise. Appl. Math. Model. 42, 509\u2013539 (2017)","journal-title":"Appl. Math. Model."},{"key":"1379_CR20","first-page":"700","volume":"115","author":"WO Kermack","year":"1927","unstructured":"Kermack, W.O., McKendrick, A.G.: Contributions to the mathematical theory of epidemics-part I. Proc. Roy. Soc. Edinburgh Sect. A 115, 700\u2013721 (1927)","journal-title":"Proc. Roy. Soc. Edinburgh Sect. A"},{"key":"1379_CR21","unstructured":"Kong, F., Nieto, J.J. : Almost periodic dynamical behaviors of the hematopoiesis model with mixed discontinuous harvesting terms. Discrete Cont. Dyn. B 25(11) (2019)"},{"key":"1379_CR22","volume-title":"Elements of Physical Biology","author":"AJ Lotka","year":"1924","unstructured":"Lotka, A.J.: Elements of Physical Biology. Williams and Wilkins, Baltimore (1924)"},{"issue":"1","key":"1379_CR23","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1080\/17513758.2018.1454515","volume":"12","author":"XY Meng","year":"2018","unstructured":"Meng, X.Y., Qin, N.N., Huo, H.F.: Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species. J. Biol. Dyn. 12(1), 342\u2013374 (2018)","journal-title":"J. Biol. Dyn."},{"key":"1379_CR24","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/9232590","author":"XY Meng","year":"2018","unstructured":"Meng, X.Y., Wang, J.G., Huo, H.F.: Dynamical behaviour of a nutrient-plankton model with Holling type IV, delay, and harvesting. Discrete Dyn. Nat. Soc. (2018). https:\/\/doi.org\/10.1155\/2018\/9232590","journal-title":"Discrete Dyn. Nat. Soc."},{"key":"1379_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2015\/948728","volume":"2015","author":"SK Nandi","year":"2015","unstructured":"Nandi, S.K., Mondal, P.K., Jana, S., Haldar, P., Kar, T.K.: Prey-predator model with two-stage infection in prey: concerning pest control. J. Nonlinear Dynam. 2015, 1\u201313 (2015)","journal-title":"J. Nonlinear Dynam."},{"key":"1379_CR26","unstructured":"Pontryagin, L.S., Boltianskii, V. G., Gamkrelidze, R. V., Mishchenko, E.F.: The mathematical theory of optimal processes. New York (1962)"},{"issue":"1","key":"1379_CR27","doi-asserted-by":"publisher","first-page":"020018","DOI":"10.1063\/1.5016652","volume":"1913","author":"AS Purnomo","year":"2017","unstructured":"Purnomo, A.S., Darti, I., Suryanto, A.: Dynamics of eco-epidemiological model with harvesting. AIP Conference Proceedings 1913(1), 020018 (2017)","journal-title":"AIP Conference Proceedings"},{"issue":"6","key":"1379_CR28","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/s10867-010-9201-9","volume":"37","author":"S Sarwardi","year":"2011","unstructured":"Sarwardi, S., Haque, M., Venturino, E.: Global stability and persistence in LG-Holling type II diseased predator ecosystems. J. Biol. Phys. 37(6), 91\u2013106 (2011)","journal-title":"J. Biol. Phys."},{"key":"1379_CR29","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/s12190-017-1142-z","volume":"58","author":"AA Shaikh","year":"2018","unstructured":"Shaikh, A.A., Das, H., Ali, N.: Study of LG-Holling type III predator-prey model with disease in predator. J. Appl. Math. Comput. 58, 235\u2013255 (2018)","journal-title":"J. Appl. Math. Comput."},{"issue":"3","key":"1379_CR30","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1007\/s40435-014-0107-4","volume":"3","author":"S Sharma","year":"2015","unstructured":"Sharma, S., Samanta, G.P.: Analysis of a two prey one predator system with disease in the first prey population. Int. J. Dyn. Control 3(3), 210\u2013224 (2015)","journal-title":"Int. J. Dyn. Control"},{"key":"1379_CR31","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.chaos.2014.11.010","volume":"70","author":"S Sharma","year":"2015","unstructured":"Sharma, S., Samanta, G.P.: A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge. Chaos Solitons Fractals 70, 69\u201384 (2015)","journal-title":"Chaos Solitons Fractals"},{"key":"1379_CR32","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2016\/2741891","volume":"2016","author":"MK Singh","year":"2016","unstructured":"Singh, M.K., Bhadauria, B.S., Singh, B.K.: Qualitative analysis of a Leslie-Gower predator-prey system with nonlinear harvesting in predator. Int. J. Eng. Math. 2016, 1\u201315 (2016)","journal-title":"Int. J. Eng. Math."},{"key":"1379_CR33","first-page":"76","volume":"5","author":"K Sujatha","year":"2015","unstructured":"Sujatha, K., Gunasekaran, M.: Qualitative and quantitative approaches in dynamics of two different prey-predator systems. IJSCE 5, 76\u201380 (2015)","journal-title":"IJSCE"},{"key":"1379_CR34","first-page":"61","volume":"4","author":"K Sujatha","year":"2015","unstructured":"Sujatha, K., Gunasekaran, M.: Two ways stability analysis of predator - prey system with diseased prey population. IJES 4, 61\u201366 (2015)","journal-title":"IJES"},{"key":"1379_CR35","first-page":"23","volume":"7","author":"K Sujatha","year":"2016","unstructured":"Sujatha, K., Gunasekaran, M.: Dynamic in a harvested prey-predator model with susceptible-infected-susceptible (SIS) epidemic disease in the prey. Adv. Appl. Math. Biosci 7, 23\u201331 (2016)","journal-title":"Adv. Appl. Math. Biosci"},{"key":"1379_CR36","unstructured":"Volterra, V., Memoria della, R.: Accademica Nazionale Dei Lincei. Translation: Animal Ecology. McGraw-Hill, New York (1926)"},{"key":"1379_CR37","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"S Wiggins","year":"2003","unstructured":"Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd edn. Springer, New York (2003)","edition":"2"},{"key":"1379_CR38","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1016\/j.amc.2013.08.067","volume":"224","author":"R Xu","year":"2013","unstructured":"Xu, R., Zhang, S.H.: Modelling and analysis of a delayed predator-prey model with disease in the predator. Appl. Math. Comput. 224, 372\u2013386 (2013)","journal-title":"Appl. Math. Comput."},{"issue":"2","key":"1379_CR39","first-page":"157","volume":"20","author":"JS Zhang","year":"2005","unstructured":"Zhang, J.S., Sun, L.: Analysis of eco-epidemiological model with epidemic in the predator. J. Biomath. 20(2), 157\u2013164 (2005)","journal-title":"J. Biomath."},{"key":"1379_CR40","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1016\/j.matcom.2016.07.015","volume":"132","author":"Y Zhang","year":"2017","unstructured":"Zhang, Y., Chen, S., Gao, S., Fan, K., Wang, Q.: A new non-autonomous model for migratory birds with Leslie-Gower Holling-type II schemes and saturation recovery rate. Math. Comput. Simulation 132, 289\u2013306 (2017)","journal-title":"Math. Comput. Simulation"},{"issue":"1","key":"1379_CR41","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1186\/s13662-018-1581-3","volume":"2018","author":"Z Zhang","year":"2018","unstructured":"Zhang, Z., Upadhyay, R.K., Datta, J.: Bifurcation analysis of a modified Leslie-Gower model with Holling type-IV functional response and nonlinear prey harvesting. Adv. Difference Equ. 2018(1), 127 (2018)","journal-title":"Adv. Difference Equ."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-020-01379-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12190-020-01379-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-020-01379-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,25]],"date-time":"2023-10-25T15:25:18Z","timestamp":1698247518000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12190-020-01379-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,13]]},"references-count":41,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["1379"],"URL":"https:\/\/doi.org\/10.1007\/s12190-020-01379-8","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"value":"1598-5865","type":"print"},{"value":"1865-2085","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,10,13]]},"assertion":[{"value":"17 October 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 October 2020","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}