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Volume 7, Issue 3
Dynamics in a Delayed Eco-Epidemiological Model with Disease in the Pest

Shiteng Lai & Sanling Yuan

J. Nonl. Mod. Anal., 7 (2025), pp. 1096-1124.

Published online: 2025-05

[An open-access article; the PDF is free to any online user.]

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  • Abstract

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.

  • AMS Subject Headings

92C10, 92C1

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COPYRIGHT: © Global Science Press

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@Article{JNMA-7-1096, author = {Lai , Shiteng and Yuan , Sanling}, title = {Dynamics in a Delayed Eco-Epidemiological Model with Disease in the Pest}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {1096--1124}, abstract = {

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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1096}, url = {http://global-sci.org/intro/article_detail/jnma/24118.html} }
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 -

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.

Lai , Shiteng and Yuan , Sanling. (2025). Dynamics in a Delayed Eco-Epidemiological Model with Disease in the Pest. Journal of Nonlinear Modeling and Analysis. 7 (3). 1096-1124. doi:10.12150/jnma.2025.1096
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