ON THE STABILITY OF A POPULATION MODEL WITH NONLOCAL DISPERSAL

Jian-Wen Sun; Chong Wang

doi:10.11948/2018.928

2018 Volume 8 Issue 3

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Jian-Wen Sun, Chong Wang. ON THE STABILITY OF A POPULATION MODEL WITH NONLOCAL DISPERSAL[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 928-937. doi: 10.11948/2018.928

Citation:

Jian-Wen Sun, Chong Wang. ON THE STABILITY OF A POPULATION MODEL WITH NONLOCAL DISPERSAL[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 928-937. doi: 10.11948/2018.928

ON THE STABILITY OF A POPULATION MODEL WITH NONLOCAL DISPERSAL

Jian-Wen Sun^1,2,
Chong Wang²

1 Institute for Mathematical Sciences, Renmin University of China, Beijing, 100872, China;
2 School of Mathematics and Statistics, Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University, Lanzhou, 730000, China

Fund Project:

Abstract

Abstract

This paper is concerned with a nonlocal dispersal population model with spatial competition and aggregation. We establish the existence and uniqueness of positive solutions by the method of coupled upper-lower solutions. We obtain the global stability of the stationary solutions.
- Nonlocal dispersal /
- existence and uniqueness /
- stability
MSC: 35B40;35K57;92D25

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References

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