TY - JOUR
T1 - ​Pattern Formation in Rosenzweig–MacArthur Model with Prey–Taxis
AU - Zhang , Yuanyuan
AU - Xia , Li
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 97
EP - 115
PY - 2018
DA - 2018/10
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12795.html
KW - Predator–prey, prey–taxis, steady state, stability analysis.
AB - <p style="text-align: justify;">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.</p>