7 citations · 11 across the 7 of their papers we have counts for
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Lotka-Volterra competition models on finite graphs
Yuanyang Hu, Chengxia Lei
In this paper, we study three two competing species Lotka-Volterra competition models on finite connected graphs, with Dirichlet, Neumann or no boundary conditions. We get that whe…
Prey-Predator models on graphs
Yuanyang Hu, Chengxia Lei
In this paper, we study the Lotka-Volterra prey-predator models consisting of two species on finite connected graphs under Neumann condition and the condition that there is no boun…
Monotone methods for semilinear parabolic and elliptic equations on graphs
Yuanyang Hu, Chengxia Lei
This paper is devoted to investigate the extinction and propagation properties of solutions to the graph Laplacian parabolic problems with Kpp type or Allen-Cahn type forcing terms…
Long-time behavior of a reaction-diffusion model with strong Allee effect and free boundary: effect of a protection zone
Ningkui Sun, Chengxia Lei
This paper concerns the effect of the (separated/connected) protection zone for the evolution of an endangered species on the reaction-diffusion equation with strong Allee effect a…
Refined estimates for the propagation speed of the transition solution to a free boundary problem with a nonlinearity of combustion type
Chengxia Lei, Hiroshi Matsuzawa, Rui Peng +1
We are concerned with the nonlinear problem , where is of combustion type, coupled with the Stefan-type free boundary . According to [4,5], for some crit…
Reproduction numbers and the expanding fronts for a diffusion-advection SIS model in heterogeneous time-periodic environment
Jing Ge, Chengxia Lei, Zhigui Lin
This paper deals with a simplified SIS model, which describes the transmission of the disease in time-periodic heterogeneous environment. To understand the impact of spatial hetero…
The spreading front of invasive species in favorable habitat or unfavorable habitat
Chengxia Lei, Zhigui Lin, Qunying Zhang
Spatial heterogeneity and habitat characteristic are shown to determine the asymptotic profile of the solution to a reaction-diffusion model with free boundary, which describes the…