TY - JOUR
T1 - A Food Chain Model with a Protection Zone
AU - Wang , Yuxia
AU - Dong , Yifu
JO - Journal of Partial Differential Equations
VL - 3
SP - 352
EP - 375
PY - 2025
DA - 2025/09
SN - 38
DO - http://doi.org/10.4208/jpde.v38.n3.7
UR - https://global-sci.org/intro/article_detail/jpde/24417.html
KW - Dynamical behavior, positive steady state, food chain model, protection zone.
AB - <p style="text-align: justify;">In this paper, we are concerned about a food chain model with a protection
 zone for the prey species. Dynamical behavior, nonexistence and existence of positive
 steady states are obtained and there exist several critical values determined by the parameters and the protection zone for the growth rate of the prey species. The results
 reveal that the protection zone is effective for the survival of the prey species and beneficial for the coexistence of multiple species. Moreover, different properties of positive
 steady states from those of the two-species models are shown. The introduction of the
 prey or the top predator can be either favorable or unfavorable for the coexistence of
 multiple species.</p>