Global existence and stabilization in a forager–exploiter model with general logistic sources. (September 2022)

• Record Type: Journal Article
• Authors: Wang, Jianping
• Is Part Of: Nonlinear analysis. Volume 222(2022)
• Publication Date: 2022-09
• Subjects: 35A09 -- 35B40 -- 35K55 -- 35Q92 -- 92C17; Forager–exploiter model -- Chemotaxis -- Logistic sources -- Boundedness -- Stabilization; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.112985
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study a forager–exploiter model with generalized logistic sources in a smooth bounded domain with homogeneous Neumann boundary conditions. A new boundedness criterion is developed to prove the global existence and boundedness of the solution. Under some conditions on the logistic degradation rates, the classical solution exists globally and remains bounded in the high dimensions. Moreover, the large time behavior of the obtained solution is investigated in the case the nutrient supply is a positive constant or has fast decaying property.