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20132022
most citedThe diffusive competition model with a free boundary: Invasion of a superior or inferior competitor

13 citations · 16 across the 9 of their papers we have counts for

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9 papers · 1 filter

math.AP2020

Effects of impulsive harvesting and an evolving domain in a diffusive logistic model

Yue Meng, Zhigui Lin, Michael Pedersen

In order to understand how the combination of domain evolution and impulsive harvesting affect the dynamics of a population, we propose a diffusive logistic population model with i…

math.AP2020

Spatial diffusion and periodic evolving of domain in an SIS epidemic model

Yachun Tong, Zhigui Lin

In order to explore the impact of periodically evolving domain on the transmission of disease, we study a SIS reaction-diffusion model with logistic term on a periodically evolving…

math.AP20201 cited

Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment

Liqiong Pu, Zhigui Lin

In this paper, we consider a single phytoplankton species which relies on the light for maintaining the metabolism of life in a periodically evolving environment, where the light i…

math.AP2019

Dynamics of a diffusive competitive model on a periodically evolving domain

Jiazhen Zhu, Jiazheng Zhou, Zhigui Lin

In this paper, we are concerned with a two-species competitive model with diffusive terms on a periodically evolving domain and study the impact of the spatial periodic evolution o…

math.AP2018

The spatial-temporal risk index and spreading dynamics for a time-periodic diffusive WNv model

Jing Ge, Zhigui Lin, Huaiping Zhu

This paper is concerned with a simplified epidemic model for West Nile virus in a heterogeneous time-periodic environment. By means of the model, we will explore the impact of spat…

math.AP20171 cited

The invasive dynamics of Aedes aegypti mosquito in a heterogenous environment

Mengyun Zhang, Jing Ge, Zhigui Lin

A reaction-diffusion-advection model is proposed and investigated to understand the invasive dynamics of Aedes aegypti mosquitoes. The free boundary is introduced to model the expa…