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https://hdl.handle.net/1959.11/31911| Title: | Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model | Contributor(s): | Ni, Wenjie (author) ; Shi, Junping (author); Wang, Mingxin (author) |
Publication Date: | 2021 | Early Online Version: | 2021-06-04 | DOI: | 10.1090/proc/15370 | Handle Link: | https://hdl.handle.net/1959.11/31911 | Abstract: | The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newly constructed Lyapunov function and estimates of nonconstant steady state solutions. The techniques developed here can be adapted for other spatially heterogeneous consumer-resource models. | Publication Type: | Journal Article | Source of Publication: | Proceedings of the American Mathematical Society, 149(9), p. 3781-3794 | Publisher: | American Mathematical Society | Place of Publication: | United States of America | ISSN: | 1088-6826 0002-9939 |
Fields of Research (FoR) 2020: | 490410 Partial differential equations 490102 Biological mathematics |
Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article School of Science and Technology |
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