170 citations · 462 across the 15 of their papers we have counts for
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Formation of spatial patterns in epidemic model with constant removal rate of the infectives
Quan-Xing Liu, Zhen Jin
This paper addresses the question of how population diffusion affects the formation of the spatial patterns in the spatial epidemic model by Turing mechanisms. In particular, we pr…
Formation of regular spatial patterns in ratio-dependent predator-prey model driven by spatial colored-noise
Quan-Xing Liu, Zhen Jin
Results are reported concerning the formation of spatial patterns in the two-species ratio-dependent predator-prey model driven by spatial colored-noise. The results show that ther…
Pulse vaccination in the periodic infection rate SIR epidemic model
Zhen Jin, Mainul Haque, Quanxing Liu
A pulse vaccination SIR model with periodic infection rate have been proposed and studied. The basic reproductive number is defined. The dynamical behaviors of the mod…
Spatial organization and evolutional period of the epidemic model using cellular automata
Quan-Xing Liu, Zhen Jin
We investigate epidemic models with spatial structure based on the cellular automata method. The construction of the cellular automata is from the study by Weimar and Boon about th…