Pattern formation in a predator-prey model with Allee effect and hyperbolic mortality on networked and non-networked environments

no code implementations • 20 Jun 2023 • Yong Ye, Jiaying Zhou

In this paper, we establish a predator-prey model with weak Allee effect, analyze and verify the Turing instability conditions on the large ER (Erd\"{o}s-R\'{e}nyi) random network with the help of Turing stability theory and numerical experiments, and obtain the Turing instability region.

Pattern formation of parasite-host model induced by fear effect

no code implementations • 18 May 2022 • Yong Ye, Yi Zhao, Jiaying Zhou

In this paper, based on the epidemiological microparasite model, a parasite-host model is established by considering the fear effect of susceptible individuals on infectors.