{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T19:06:32Z","timestamp":1780513592754,"version":"3.54.1"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,11,18]],"date-time":"2023-11-18T00:00:00Z","timestamp":1700265600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,18]],"date-time":"2023-11-18T00:00:00Z","timestamp":1700265600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11971143"],"award-info":[{"award-number":["11971143"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11971135"],"award-info":[{"award-number":["11971135"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","award":["RGPIN-2020-03911"],"award-info":[{"award-number":["RGPIN-2020-03911"]}],"id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001804","name":"Canada Research Chairs","doi-asserted-by":"publisher","award":["Tier 1 Canada Research Chair Award"],"award-info":[{"award-number":["Tier 1 Canada Research Chair Award"]}],"id":[{"id":"10.13039\/501100001804","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Nonlinear Sci"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s00332-023-09996-w","type":"journal-article","created":{"date-parts":[[2023,11,18]],"date-time":"2023-11-18T21:34:55Z","timestamp":1700343295000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":38,"title":["Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception"],"prefix":"10.1007","volume":"34","author":[{"given":"Yongli","family":"Song","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hao","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinfeng","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,11,18]]},"reference":[{"issue":"8","key":"9996_CR1","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1080\/03605307908820113","volume":"4","author":"ND Alikakos","year":"1979","unstructured":"Alikakos, N.D.: $$L^{p}$$ bounds of solutions of reaction-diffusion equations. Comm. Partial Differ. Equ. 4(8), 827\u2013868 (1979)","journal-title":"Comm. Partial Differ. Equ."},{"issue":"1","key":"9996_CR2","first-page":"13","volume":"3","author":"H Amann","year":"1990","unstructured":"Amann, H.: Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems. Differ. Integral Equ. 3(1), 13\u201375 (1990)","journal-title":"Differ. Integral Equ."},{"key":"9996_CR3","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s00285-007-0149-8","volume":"57","author":"AH Barnett","year":"2008","unstructured":"Barnett, A.H., Moorcroft, P.R.: Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis. J. Math. Biol. 57, 139\u2013159 (2008)","journal-title":"J. Math. Biol."},{"key":"9996_CR4","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1137\/090746677","volume":"53","author":"N Bellomo","year":"2011","unstructured":"Bellomo, N., Dogb\u00e9, C.: On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. SIAM Rev. 53, 409\u2013463 (2011)","journal-title":"SIAM Rev."},{"key":"9996_CR5","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1111\/j.1461-0248.2008.01182.x","volume":"11","author":"L B\u00f6rger","year":"2008","unstructured":"B\u00f6rger, L., Dalziel, B.D., Fryxell, J.M.: Are there general mechanisms of animal home range behaviour? A review and prospects for future research. Ecol. Lett. 11, 637\u2013650 (2008)","journal-title":"Ecol. Lett."},{"key":"9996_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-030-67111-2","volume-title":"Non-local cell adhesion models: symmetries and bifurcations in 1-D","author":"A Buttensch\u00f8n","year":"2021","unstructured":"Buttensch\u00f8n, A., Hillen, T.: Non-local cell adhesion models: symmetries and bifurcations in 1-D, vol. 1. Springer Nature, New York City (2021)"},{"issue":"1","key":"9996_CR7","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1137\/19M125827X","volume":"80","author":"JA Carrillo","year":"2020","unstructured":"Carrillo, J.A., Chen, X., Wang, Q., Wang, Z., Zhang, L.: Phase transitions and bump solutions of the keller-segel model with volume exclusion. SIAM J. Appl. Math. 80(1), 232\u2013261 (2020)","journal-title":"SIAM J. Appl. Math."},{"issue":"1807","key":"9996_CR8","doi-asserted-by":"crossref","first-page":"20190379","DOI":"10.1098\/rstb.2019.0379","volume":"375","author":"L Chen","year":"2020","unstructured":"Chen, L., Painter, K., Surulescu, C., Zhigun, A.: Mathematical models for cell migration: a non-local perspective. Philos. Trans. R. Soc. B 375(1807), 20190379 (2020)","journal-title":"Philos. Trans. R. Soc. B"},{"issue":"1","key":"9996_CR9","doi-asserted-by":"crossref","first-page":"43","DOI":"10.3934\/dcds.2018002","volume":"38","author":"S Chen","year":"2018","unstructured":"Chen, S., Yu, J.: Stability and bifurcation on predator-prey systems with nonlocal prey competition. Discret. Contin. Dyn. Syst. 38(1), 43\u201362 (2018)","journal-title":"Discret. Contin. Dyn. Syst."},{"issue":"4","key":"9996_CR10","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1137\/0512047","volume":"12","author":"KS Cheng","year":"1981","unstructured":"Cheng, K.S.: Uniqueness of a limit cycle for a predator-prey system. SIAM J. Math. Anal. 12(4), 541\u2013548 (1981)","journal-title":"SIAM J. Math. Anal."},{"key":"9996_CR11","doi-asserted-by":"crossref","first-page":"1959","DOI":"10.1007\/s00332-018-9472-z","volume":"28","author":"A Ducrot","year":"2018","unstructured":"Ducrot, A., Fu, X., Magal, P.: Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection. J. Nonlinear Sci. 28, 1959\u20131997 (2018)","journal-title":"J. Nonlinear Sci."},{"issue":"1","key":"9996_CR12","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1142\/S0218202511005404","volume":"21","author":"A Ducrot","year":"2011","unstructured":"Ducrot, A., Le Foll, F., Magal, P., Murakawa, H., Pasquier, J., Webb, G.F.: An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Math. Models Meth. Appl. Sci. 21(1), 871\u2013892 (2011)","journal-title":"Math. Models Meth. Appl. Sci."},{"issue":"5","key":"9996_CR13","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1086\/691099","volume":"189","author":"WF Fagan","year":"2017","unstructured":"Fagan, W.F., Gurarie, E., Bewick, S., Howard, A., Cantrell, R.S., Cosner, C.: Perceptual ranges, information gathering, and foraging success in dynamic landscapes. Am. Nat. 189(5), 474\u2013489 (2017)","journal-title":"Am. Nat."},{"issue":"1","key":"9996_CR14","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF00276081","volume":"27","author":"J Furter","year":"1989","unstructured":"Furter, J., Grinfeld, M.: Local vs. non-local interactions in population dynamics. J. Math. Biol. 27(1), 65\u201380 (1989)","journal-title":"J. Math. Biol."},{"issue":"3","key":"9996_CR15","doi-asserted-by":"crossref","first-page":"1686","DOI":"10.1137\/21M1425992","volume":"21","author":"V Giunta","year":"2021","unstructured":"Giunta, V., Hillen, T., Lewis, M., Potts, J.R.: Local and global existence for non-local multi-species. SIAM J. Appl. Dyn. Syst. 21(3), 1686\u20131708 (2021)","journal-title":"SIAM J. Appl. Dyn. Syst."},{"key":"9996_CR16","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1007\/s002850000047","volume":"41","author":"SA Gourley","year":"2000","unstructured":"Gourley, S.A.: Travelling front solutions of a nonlocal Fisher equation. J. Math. Biol. 41, 272\u2013284 (2000)","journal-title":"J. Math. Biol."},{"issue":"1","key":"9996_CR17","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.jtbi.2010.08.013","volume":"267","author":"JEF Green","year":"2010","unstructured":"Green, J.E.F., Waters, S.L., Whiteley, J.P., Edelstein-Keshet, L., Shakesheff, K.M., Byrne, H.M.: Non-local models for the formation of hepatocyte-stellate cell aggregates. J. Theor. Biol. 267(1), 106\u2013120 (2010)","journal-title":"J. Theor. Biol."},{"key":"9996_CR18","doi-asserted-by":"crossref","unstructured":"Gr\u00fcnbaum, Daniel, Okubo, Akira: Modelling social animal aggregations, Frontiers in mathematical biology, Pages 296\u2013325 in S. Levin, ed. ed., Springer, Berlin, (1994)","DOI":"10.1007\/978-3-642-50124-1_18"},{"issue":"1\u20132","key":"9996_CR19","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/s00285-008-0201-3","volume":"58","author":"T Hillen","year":"2009","unstructured":"Hillen, T., Painter, K.J.: A user\u2019s guide to PDE models for chemotaxis. J. Math. Biol. 58(1\u20132), 183\u2013217 (2009)","journal-title":"J. Math. Biol."},{"issue":"4","key":"9996_CR20","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1137\/0135051","volume":"35","author":"SB Hsu","year":"1978","unstructured":"Hsu, S.B., Hubbell, S.P., Waltman, P.: Competing predators. SIAM J. Appl. Math. 35(4), 617\u2013625 (1978)","journal-title":"SIAM J. Appl. Math."},{"issue":"3","key":"9996_CR21","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1016\/j.jde.2016.10.010","volume":"262","author":"H-Y Jin","year":"2017","unstructured":"Jin, H.-Y., Wang, Z.-A.: Global stability of prey-taxis systems. J. Differ. Equ. 262(3), 1257\u20131290 (2017)","journal-title":"J. Differ. Equ."},{"key":"9996_CR22","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0022-5193(71)90050-6","volume":"30","author":"EF Keller","year":"1971","unstructured":"Keller, E.F., Segel, L.A.: Model for chemotaxis. J. Theor. Biol. 30, 225\u2013234 (1971)","journal-title":"J. Theor. Biol."},{"key":"9996_CR23","first-page":"377","volume":"30","author":"EF Keller","year":"1971","unstructured":"Keller, E.F., Segel, L.A.: Traveling bands of chemotactic bacteria: a theoretical analysis. J. Theor. Biol. 30, 377\u2013380 (1971)","journal-title":"J. Theor. Biol."},{"key":"9996_CR24","volume-title":"Analytic semigroups and optimal regularity in parabolic problems. Progress in nonlinear differential equations and their applications","author":"A Lunardi","year":"1995","unstructured":"Lunardi, A.: Analytic semigroups and optimal regularity in parabolic problems. Progress in nonlinear differential equations and their applications, vol. 16. Birkh\u00e4user Verlag, Basel (1995)"},{"key":"9996_CR25","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1103\/PhysRevLett.110.248106","volume":"110","author":"R Mart\u00ednez-Garc\u00eda","year":"2013","unstructured":"Mart\u00ednez-Garc\u00eda, R., Calabrese, J.M., Mueller, T., Olson, K.A., L\u00f3pez, C.: Optimizing the search for resources by sharing information: Mongolian gazelles as a case study. Phys. Rev. Lett. 110, 248\u2013106 (2013)","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"9996_CR26","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/j.tpb.2011.10.001","volume":"80","author":"S Merchant","year":"2011","unstructured":"Merchant, S., Nagata, W.: Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition. Theor. Popul. Biol. 80(4), 289\u2013297 (2011)","journal-title":"Theor. Popul. Biol."},{"key":"9996_CR27","doi-asserted-by":"crossref","first-page":"534","DOI":"10.1007\/s002850050158","volume":"38","author":"A Mogilner","year":"1999","unstructured":"Mogilner, A., Edelstein-Keshet, L.: A non-local model for a swarm. J. Math. Biol. 38, 534\u2013570 (1999)","journal-title":"J. Math. Biol."},{"issue":"11","key":"9996_CR28","doi-asserted-by":"crossref","first-page":"6891","DOI":"10.1016\/j.jde.2018.02.002","volume":"264","author":"W Ni","year":"2018","unstructured":"Ni, W., Shi, J., Wang, M.: Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model. J. Differ. Equ. 264(11), 6891\u20136932 (2018)","journal-title":"J. Differ. Equ."},{"key":"9996_CR29","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1007\/BF02476407","volume":"15","author":"CS Patlak","year":"1953","unstructured":"Patlak, C.S.: Random walk with persistence and external bias. Bull. Math. Biophys. 15, 311\u2013338 (1953)","journal-title":"Bull. Math. Biophys."},{"issue":"3","key":"9996_CR30","doi-asserted-by":"crossref","first-page":"2123","DOI":"10.1007\/s10884-021-09995-z","volume":"34","author":"Q Shi","year":"2021","unstructured":"Shi, Q., Shi, J., Song, Y.: Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems. J. Dyn. Differ. Equ. 34(3), 2123\u20132156 (2021)","journal-title":"J. Dyn. Differ. Equ."},{"issue":"11","key":"9996_CR31","doi-asserted-by":"crossref","first-page":"6316","DOI":"10.1016\/j.jde.2019.06.025","volume":"267","author":"Y Song","year":"2019","unstructured":"Song, Y., Wu, S., Wang, H.: Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect. J. Differ. Equ. 267(11), 6316\u20136351 (2019)","journal-title":"J. Differ. Equ."},{"key":"9996_CR32","doi-asserted-by":"crossref","first-page":"692","DOI":"10.1016\/j.jde.2011.08.019","volume":"252","author":"Y Tao","year":"2012","unstructured":"Tao, Y., Winkler, M.: Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. J. Differ. Equ. 252, 692\u2013715 (2012)","journal-title":"J. Differ. Equ."},{"issue":"12","key":"9996_CR33","first-page":"3641","volume":"19","author":"Y Tao","year":"2017","unstructured":"Tao, Y., Winkler, M.: Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. J. Differ. Equ. 19(12), 3641\u20133678 (2017)","journal-title":"J. Differ. Equ."},{"key":"9996_CR34","doi-asserted-by":"crossref","first-page":"1645","DOI":"10.1142\/S0218202517500282","volume":"27","author":"Y Tao","year":"2017","unstructured":"Tao, Y., Winkler, M.: Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Math. Models Meth. Appl. Sci. 27, 1645\u20131683 (2017)","journal-title":"Math. Models Meth. Appl. Sci."},{"key":"9996_CR35","volume":"111","author":"G Wang","year":"2021","unstructured":"Wang, G., Wang, J.: Pattern formation in predator prey systems with consuming resource and prey-taxis. Appl. Math. Lett. 111, 106681 (2021)","journal-title":"Appl. Math. Lett."},{"key":"9996_CR36","doi-asserted-by":"crossref","unstructured":"Wang, H., Salmaniw, Y.: Open problems in pde models for knowledge-based animal movement via nonlocal perception and cognitive mapping, J. Math. Biol. 86(5), (2023) https:\/\/doi.org\/10.1007\/s00285--023--01905--9","DOI":"10.1007\/s00285-023-01905-9"},{"issue":"7","key":"9996_CR37","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1080\/03605302.2019.1581804","volume":"44","author":"J Wang","year":"2019","unstructured":"Wang, J., Wang, Z., Yang, W.: Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass. Commun. Partial Differ. Equ. 44(7), 545\u2013572 (2019)","journal-title":"Commun. Partial Differ. Equ."},{"issue":"3","key":"9996_CR38","first-page":"1273","volume":"26","author":"J Wang","year":"2021","unstructured":"Wang, J., Wu, S., Shi, J.: Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis. Discrete Contin. Dyn. Syst. Ser. B 26(3), 1273\u20131289 (2021)","journal-title":"Discrete Contin. Dyn. Syst. Ser. B"},{"issue":"1","key":"9996_CR39","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s00332-016-9326-5","volume":"27","author":"Q Wang","year":"2017","unstructured":"Wang, Q., Song, Y., Shao, L.: Nonconstant positive steady states and pattern formation of 1D prey-taxis systems. J. Nonlinear Sci. 27(1), 71\u201397 (2017)","journal-title":"J. Nonlinear Sci."},{"issue":"1","key":"9996_CR40","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1515\/anona-2020-0013","volume":"9","author":"M Winkler","year":"2020","unstructured":"Winkler, M.: The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $$L^1$$. Adv. Nonlinear Anal. 9(1), 526\u2013566 (2020)","journal-title":"Adv. Nonlinear Anal."},{"issue":"7","key":"9996_CR41","doi-asserted-by":"crossref","first-page":"5847","DOI":"10.1016\/j.jde.2015.12.024","volume":"260","author":"S Wu","year":"2016","unstructured":"Wu, S., Shi, J., Wu, B.: Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis. J. Differ. Equ. 260(7), 5847\u20135874 (2016)","journal-title":"J. Differ. Equ."},{"key":"9996_CR42","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.nonrwa.2019.01.004","volume":"48","author":"S Wu","year":"2019","unstructured":"Wu, S., Song, Y.: Stability and spatiotemporal dynamics in a diffusive predator-prey model with nonlocal prey competition. Nonlinear Anal.-Real World Appl. 48, 12\u201339 (2019)","journal-title":"Nonlinear Anal.-Real World Appl."},{"issue":"5","key":"9996_CR43","doi-asserted-by":"crossref","first-page":"1944","DOI":"10.1016\/j.jde.2008.10.024","volume":"246","author":"F Yi","year":"2009","unstructured":"Yi, F., Wei, J., Shi, J.: Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system. J. Differ. Equ. 246(5), 1944\u20131977 (2009)","journal-title":"J. Differ. Equ."}],"container-title":["Journal of Nonlinear Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-023-09996-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00332-023-09996-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-023-09996-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,15]],"date-time":"2024-02-15T17:09:33Z","timestamp":1708016973000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00332-023-09996-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,18]]},"references-count":43,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["9996"],"URL":"https:\/\/doi.org\/10.1007\/s00332-023-09996-w","relation":{},"ISSN":["0938-8974","1432-1467"],"issn-type":[{"value":"0938-8974","type":"print"},{"value":"1432-1467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,18]]},"assertion":[{"value":"15 July 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 October 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 November 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"19"}}