Global solvability of a predator-prey model with predator-taxis and prey-taxis
Jianping Wang, Mingxin Wang
TL;DR
This paper investigates a predator-prey model with movement behaviors driven by predator-taxis and prey-taxis, establishing conditions for the global existence, uniqueness, and boundedness of solutions using fixed point theory.
Contribution
It provides the first rigorous proof of global solvability for a predator-prey system incorporating predator-taxis and prey-taxis effects under weak interaction conditions.
Findings
Global existence and uniqueness of solutions proved
Solutions are bounded under specified conditions
Applicable fixed point theorem used for proof
Abstract
This paper is concerned with a diffusive predator-prey model with predator-taxis and prey-taxis. Based on the Schauder fixed point theorem, we prove the global existence, uniqueness and boundedness of the classical solutions under the conditions that the predator-taxis and prey-taxis effects are weak enough.
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Taxonomy
TopicsMathematical Biology Tumor Growth · Mathematical and Theoretical Epidemiology and Ecology Models · Evolution and Genetic Dynamics