A spatially heterogeneous predator-prey model

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López Gómez, Julián and Muñoz Hernández, Eduardo (2021) A spatially heterogeneous predator-prey model. Discrete and Continuous Dynamical Systems. Series B. A Journal Bridging Mathematics and Sciences, 26 (4). pp. 2085-2113. ISSN 1531-3492

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Official URL: https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020081



Abstract

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.


Item Type:Article
Uncontrolled Keywords:Lotka-Volterra kinetics
Subjects:Medical sciences > Biology > Biomathematics
ID Code:74751
Deposited On:23 Sep 2022 12:23
Last Modified:26 Sep 2022 07:30

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