Year: 2019
Author: Yuanyuan Zhang, Li Xia
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 1 : pp. 97–115
Abstract
In this paper we study the existence and stability of nonconstant positive steady states to a reaction–advection–diffusion system with Rosenzweig–MacArthur kinetics. This system can be used to model the spatial–temporal distributions of predator and prey species . We investigate the effect of prey–taxis on the formation of nonconstant positive steady states in 1D. Stability and instability of these nonconstant steady states are also obtained. We also perform some numerical studies to support the theoretical findings. It is also shown that the Rosenzweig–MacArthur prey–taxis model admits very rich and complicated spatial–temporal dynamics.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-12795
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 1 : pp. 97–115
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Predator–prey prey–taxis steady state stability analysis.