TY - JOUR
T1 - Spatial Dynamics of a Diffusive Prey-Predator Model with Stage Structure and Fear Effect
AU - Zhu , Nana
AU - Yuan , Sanling
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 392
EP - 408
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.392
UR - https://global-sci.org/intro/article_detail/jnma/20714.html
KW - Prey-predator model, Fear effect, Stage-structured model, Hopf
bifurcation, Turing bifurcation, Pattern formation.
AB - <p style="text-align: justify;">To understand the influence of fear effect on population dynamics,
especially for the populations with obvious stage structure characteristics, we
propose and investigate a diffusive prey-predator model with stage structure
in predators. First, we discuss the existence and stability of equilibrium of
the model in the absence of diffusion. Then, we obtain the critical conditions
for Hopf and Turing bifurcations. Some numerical simulations are also carried
out to verify our theoretical results, which indicate that the fear can induce
the prey population to show five pattern structures: cold-spot pattern, mixed
pattern with cold spots and stripes, stripes pattern, hot-spot pattern, mixed
pattern with hot spots and stripes. These findings imply that the fear effect induced by the mature predators plays an important role in the spatial
distribution of species.</p>