Back to Search Start Over

The nonlocal dispersal equation with seasonal succession.

Authors :
Zhang, Qianying
Wang, Mingxin
Source :
Proceedings of the American Mathematical Society; Mar2024, Vol. 152 Issue 3, p1083-1097, 15p
Publication Year :
2024

Abstract

In this paper, we focus on the nonlocal dispersal monostable equation with seasonal succession, which can be used to describe the dynamics of species in an environment alternating between bad and good seasons. We first prove the existence and uniqueness of global positive solution, and then discuss the long time behaviors of solution. It is shown that its dynamics is completely determined by the sign of the principal eigenvalue, i.e., the time periodic problem has no positive solution and the solution of the initial value problem tends to zero when principal eigenvalue is non-negative, while the time periodic positive solution exists uniquely and is globally asymptotically stable when principal eigenvalue is negative. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
3
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
175006902
Full Text :
https://doi.org/10.1090/proc/16626