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October  2017, 10(5): 935-942. doi: 10.3934/dcdss.2017048

## Stability analysis of a model on varying domain with the Robin boundary condition

 1 Department of Mathematics, Southeast University, Nanjing 210096, China 2 School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

* Corresponding author: Guowei Dai

Received  September 2016 Revised  February 2017 Published  June 2017

Fund Project: The second author is supported by NNSF of China (No. 11401477)

In this paper we develop a non-autonomous reaction-diffusion model with the Robin boundary conditions to describe insect dispersal on an isotropically varying domain. We investigate the stability of the reaction-diffusion model. The stability results of the model describe either insect survival or vanishing.

Citation: Xiaofei Cao, Guowei Dai. Stability analysis of a model on varying domain with the Robin boundary condition. Discrete & Continuous Dynamical Systems - S, 2017, 10 (5) : 935-942. doi: 10.3934/dcdss.2017048
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