170 citations · 211 across the 4 of their papers we have counts for
7 papers · 1 filter
Persistence, extinction and spatio-temporal synchronization of SIRS cellular automata models
Quan-Xing Liu, Rong-Hua Wang, Zhen Jin
Spatially explicit models have been widely used in today's mathematical ecology and epidemiology to study persistence and extinction of populations as well as their spatial pattern…
Complex dynamics of a Holling-type IV predator-prey model
Lei Zhang, Weiming Wang, Yakui Xue +1
In this paper, we focus on a spatial Holling-type IV predator-prey model which contains some important factors, such as diffusion, noise (random fluctuations) and external periodic…
Spatiotemporal pattern formation of Beddington-DeAngelis-type predator-prey model
Weiming Wang, Lei Zhang, Yakui Xue +1
In this paper, we investigate the emergence of a predator-prey model with Beddington-DeAngelis-type functional response and reaction-diffusion. We derive the conditions for Hopf an…
Resonance and frequency-locking phenomena in spatially extended phytoplankton-zooplankton system with additive noise and periodic forces
Quan-Xing Liu, Bai-Lian Li, Zhen Jin
In this paper, we present a spatial version of phytoplankton-zooplankton model that includes some important factors such as external periodic forces, noise, and diffusion processes…
Spatiotemporal complexity of a ratio-dependent predator-prey system
Weiming Wang, Quan-Xing Liu, Zhen Jin
In this paper, we investigate the emergence of a ratio-dependent predator-prey system with Michaelis-Menten-type functional response and reaction-diffusion. We derive the condition…
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…