TY - JOUR
T1 - Dynamics in a Delayed Eco-Epidemiological Model with Disease in the Pest
AU - Lai , Shiteng
AU - Yuan , Sanling
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 1096
EP - 1124
PY - 2025
DA - 2025/05
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1096
UR - https://global-sci.org/intro/article_detail/jnma/24118.html
KW - Predator-pest model, eco-epidemiology, gestation delay, Hopf bifurcation, normal form.
AB - <p style="text-align: justify;">In ecology, it is of great significance to research the influence of
gestation period on the dynamics of eco-epidemiology. In the paper, we establish and explore a delayed predator-pest model with disease in pest. We
first analyze the existence and local stability of each equilibrium of the model.
Then, we investigate the existence of Hopf bifurcation at the coexistence equilibrium. Moreover, we calculate the normal form to examine the properties of
Hopf bifurcation. Some numerical simulations are conducted to verify the theoretical results obtained and explore how the delay affects the biomass of pest.
Our findings may contribute to a better understanding of the mechanisms of
interaction between species in eco-epidemiology. At the same time, this study
also provides an insightful perspective into the control of pests in ecosystems.</p>