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具非局部扩散和反应项的自由边界问题

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针对一个具有非局部扩散和反应项的自由边界问题进行研究,证明其解的存在唯一性,并运用迭代法研究解的渐近行为.特别地,当扩散发生时,证明了系统存在唯一正解,且在紧开拓扑意义下全局渐近稳定,表明弱竞争时两个种群能够最终共存.
Free boundary problems with nonlocal diffusion and reaction terms
In this paper,the author studies a free boundary problem with nonlocal diffusion and re-action terms,proves the existence and uniqueness of the solution,and uses iterative method to study the asymptotic behavior of the solution.In particular,when diffusion occurs,it is proved that the system has a unique positive solution and is globally asymptotically stable in the sense of com-pact expansion,indicating that two populations can eventually coexist under weak competition.

Nonlocal diffusionNonlocal reactionFree boundaries

张羽、周玲

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扬州大学数学科学学院,江苏扬州,225002

非局部扩散 非局部反应 自由边界条件

江苏自然科学基金项目

BK20191436

2024

扬州大学学报(自然科学版)
扬州大学

扬州大学学报(自然科学版)

影响因子:0.473
ISSN:1007-824X
年,卷(期):2024.27(2)
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