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- W4200210922 abstract "Abstract In this paper, we consider a diffusive predator-prey system with spatial memory and predator-taxis. Since in this system, the memory delay appears in the diffusion term, and the diffusion term is nonlinear, the classical normal form of Hopf bifurcation in the reaction-diffusion system with delay can't be applied to this system. Thus, in this paper, we first derive an algorithm for calculating the normal form of Hopf bifurcation in this system. Then in order to illustrate the effectiveness of our newly developed algorithm, we consider the diffusive Holling-Tanner model with spatial memory and predator-taxis. The stability and Hopf bifurcation analysis of this model are investigated, and the direction and stability of Hopf bifurcation periodic solution are also researched by using our newly developed algorithm for calculating the normal form of Hopf bifurcation. At last, we carry out some numerical simulations, two stable spatially inhomogeneous periodic solutions corresponding to the mode-1 and mode-2 Hopf bifurcations are found, which verifies our theoretical analysis results." @default.
- W4200210922 created "2021-12-31" @default.
- W4200210922 creator A5088680304 @default.
- W4200210922 date "2021-12-28" @default.
- W4200210922 modified "2023-09-27" @default.
- W4200210922 title "Inhomogeneous spatial patterns in diffusive predator-prey system with spatial memory and predator-taxis" @default.
- W4200210922 doi "https://doi.org/10.21203/rs.3.rs-1205520/v1" @default.
- W4200210922 hasPublicationYear "2021" @default.
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