{"title":"具有非线性竞争的反应扩散系统的传播动力学","authors":"","doi":"10.1016/j.nonrwa.2024.104184","DOIUrl":null,"url":null,"abstract":"<div><p>This work is concerned with a competition system with nonlinear coupled reaction terms. By using Schauder’s fixed point theorem, we first prove the existence of a traveling wave solution connecting two uniform stationary states that do not satisfy the competitive ordering. Then some asymptotic spreading properties of the two species are obtained, and on this basis, we derive the multiplicity of asymptotic spreading speed of the considered system. Finally, numerical simulations corroborate the existence of traveling wave solutions satisfying different asymptotic conditions, which are theoretically established by the current paper and the reference.</p></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Propagation dynamics for a reaction–diffusion system with nonlinear competition\",\"authors\":\"\",\"doi\":\"10.1016/j.nonrwa.2024.104184\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This work is concerned with a competition system with nonlinear coupled reaction terms. By using Schauder’s fixed point theorem, we first prove the existence of a traveling wave solution connecting two uniform stationary states that do not satisfy the competitive ordering. Then some asymptotic spreading properties of the two species are obtained, and on this basis, we derive the multiplicity of asymptotic spreading speed of the considered system. Finally, numerical simulations corroborate the existence of traveling wave solutions satisfying different asymptotic conditions, which are theoretically established by the current paper and the reference.</p></div>\",\"PeriodicalId\":49745,\"journal\":{\"name\":\"Nonlinear Analysis-Real World Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Real World Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1468121824001238\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1468121824001238","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Propagation dynamics for a reaction–diffusion system with nonlinear competition
This work is concerned with a competition system with nonlinear coupled reaction terms. By using Schauder’s fixed point theorem, we first prove the existence of a traveling wave solution connecting two uniform stationary states that do not satisfy the competitive ordering. Then some asymptotic spreading properties of the two species are obtained, and on this basis, we derive the multiplicity of asymptotic spreading speed of the considered system. Finally, numerical simulations corroborate the existence of traveling wave solutions satisfying different asymptotic conditions, which are theoretically established by the current paper and the reference.
期刊介绍:
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.