Global dynamics of a chemotaxis system with toxicity in invasive species

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-03-19 DOI:10.1016/j.matcom.2025.03.009

Xiaoyue Yuan , Xuebing Zhang , Wenjun Liu , Ali Moussaoui , Pierre Auger

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引用次数: 0

Abstract

Invasive species threaten the integrity of ecosystems by altering the structure and function of natural systems. It is crucial to predict the mode of biological invasion and control intruders. In this paper, we establish a diffusion biological invasion model with toxicant-taxis and conduct research through theoretical analysis and numerical simulation methods. We investigate the local stability of the system and find that it undergoes saddle–node bifurcation and transcritical bifurcation. We further prove the boundedness and global existence of the classical solutions of the system. By constructing appropriate Lyapunov functionals, the global stability of the positive steady state is analyzed, and the decay rate of the solution is provided. In addition, to investigate the effects of toxins and competition intensity on the survival of invasive species, we demonstrate the existence conditions of steady-state solutions through numerical simulations. By comparison, it is found that invasive species can only survive in new environments if they possess at least one advantage.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.