A SPATIALLY HETEROGENEOUS PREDATOR-PREY MODEL

被引：3
|
作者：
Lopez-Gomez, Julian [1 ]
Munoz-Hernandez, Eduardo [1 ]
机构：
[1] Univ Complutense Madrid, Inst Matemat Interdisciplinar IMI, Dept Anal Matemat & Matemat Aplicada, Madrid 28040, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 04期
关键词：
Predator-prey systems; Lotka-Volterra and Holling-Tanner kinetics; prey saturation effects; unifying Lotka-Volterra and Holling-Tanner kinetics; coexistence states; uniqueness of coexistence states; II FUNCTIONAL-RESPONSE; POSITIVE STEADY-STATES; COEXISTENCE STATES; QUALITATIVE-ANALYSIS; GLOBAL STABILITY; BIFURCATION; DIFFUSION; SYSTEM; MULTIPLICITY; EIGENVALUES;
D O I：
10.3934/dcdsb.2020081
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces a spatially heterogeneous diffusive predator-prey model unifying the classical Lotka-Volterra and Holling-Tanner ones through a prey saturation coefficient, m(x), which is spatially heterogenous and it is allowed to 'degenerate'. Thus, in some patches of the territory the species can interact according to a Lotka-Volterra kinetics, while in others the prey saturation effects play a significant role on the dynamics of the species. As we are working under general mixed boundary conditions of non-classical type, we must invoke to some very recent technical devices to get some of the main results of this paper.
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页码：2085 / 2113
页数：29
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