BIOLOGICAL INVASION PROBLEM WITH FREE BOUNDARY NONLOCAL DIFFUSION EQUATION

作     者：HE Yu-rong ZHANG Ya-rong 何毓容;张雅荣

作者机构：School of ScienceXi'an University of Architecture and TechnologyXi'an 710055China Xi'an Special Equipment Inspection InstituteXi'an 710065China School of Power and EnergyNorthwestern Polytechnical UniversityXi'an 710072China 

出 版 物：《数学杂志》 (Journal of Mathematics)

年 卷 期：2025年第45卷第1期

页      面：48-56页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China(12101482) Postdoctoral Science Foundation of China(2022M722604) General Project of Science and Technology of Shaanxi Province(2023-YBSF-372) The Natural Science Foundation of Shaan Xi Province(2023-JCQN-0016) Shannxi Mathmatical Basic Science Research Project(23JSQ042) 

主　　题：Free boundary biological invasion differential equation 

摘      要：In order to better describe the phenomenon of biological invasion,this paper introduces a free boundary model of biological ***,the right free boundary is added to the equation with logistic ***,the existence and uniqueness of local solutions are proved by the Sobolev embedding theorem and the comparison ***,according to the relevant research data and contents of red fire ants,the diffusion area and nest number of red fire ants were simulated without external *** paper mainly simulates the early diffusion process of red fire *** the early diffusion stage,red fire ants grow slowly and then spread over a large area after reaching a certain number.