Global generalized solutions to the forager-exploiter model with logistic growth

Qian Zhao; Bin Liu

doi:10.3934/dcdsb.2021273

Article Contents

2022, Volume 27, Issue 9: 5255-5282. Doi: 10.3934/dcdsb.2021273

This issue Previous Article Existence and approximation of attractors for nonlinear coupled lattice wave equations Next Article Stability and applications of multi-order fractional systems

Global generalized solutions to the forager-exploiter model with logistic growth

Qian Zhao^1,2, and
Bin Liu^1,2, ,

1.
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China
2.
Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China

^* Corresponding author: Bin Liu
^* Corresponding author: Bin Liu

Received: June 30, 2021

Revised: August 31, 2021

Early access: November 2021

Published: September 2022

This work is supported by National Natural Science Foundation of China grant 11971185

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Abstract

This paper presents the global existence of the generalized solutions for the forager-exploiter model with logistic growth under appropriate regularity assumption on the initial value. This result partially generalizes previously known ones.

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Mathematics Subject Classification: Primary: 35D30; Secondary: 35A01, 35Q92.

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