{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T13:06:14Z","timestamp":1765976774923,"version":"3.41.2"},"reference-count":40,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12172233","U1934201","11672191"],"award-info":[{"award-number":["12172233","U1934201","11672191"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2024,5]]},"abstract":"<jats:p> In this paper, we proposed a Holling-III predator\u2013prey model considering the perturbation of slow-varying, carrying capacity parameters. The study aims to address how the slow changes in carrying capacity influence the dynamics of the model. Based on the bifurcation theory and the slow\u2013fast analysis method, the existence and the equilibrium of the autonomous system are explored, and then, the critical condition of Hopf bifurcation and transcritical bifurcation is established for the autonomous system. The slow\u2013fast coupled nonautonomous system has quasiperiodic oscillations, single Hopf bursting oscillations, and transcritical\u2013Hopf bursting oscillations within a certain range of perturbation amplitude variation if the carrying capacity perturbation amplitude crosses some critical values, such that the predator\u2013prey management is challenging for the extinction of predator populations under the critical value. The motion pattern of the nonautonomous system is closely related to the transcritical bifurcation, Hopf bifurcation and attractor type of the autonomous system. Finally, the effects of changes in parameters related to predator aggressiveness on system behavior are investigated. These results show how crucial the predator\u2013prey control is for varying carrying capacities. <\/jats:p>","DOI":"10.1142\/s021812742450072x","type":"journal-article","created":{"date-parts":[[2024,5,15]],"date-time":"2024-05-15T15:13:17Z","timestamp":1715785997000},"source":"Crossref","is-referenced-by-count":2,"title":["Multiscale Effects of Predator\u2013Prey Systems with Holling-III Functional Response"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-6977-4131","authenticated-orcid":false,"given":"Kexin","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. 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