Global boundedness and large time behavior in a forager-exploiter model of parabolic-parabolic-elliptic type

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Authors: Yifeng Xiong, Lu Xu
Cited by: 0
References: 41

Abstract

This paper deals with the parabolic-parabolic-elliptic forager-exploiter model under homogeneous Neumann boundary conditions. It is shown that if the taxis effects of exploiters are suitably weak, its classical solution is globally bounded in arbitrary dimensions. Moreover, the foragers and exploiters will approach spatially homogeneous distributions in the large time limit.

Fields of Study & Subjects

Mathematical Biology Tumor Growth Mathematical and Theoretical Epidemiology and Ecology Models Nonlinear Partial Differential Equations

Publication details

Journal / source
Mathematical Biosciences & Engineering
Volume
23
Issue
4
Pages
1050–1066
Publication date
1 January 2026
Language
EN