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Ecoepidemiological Model and Analysis of Prey‐Predator System

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  • Abayneh Fentie Bezabih
  • Geremew Kenassa Edessa
  • Koya Purnachandra Rao

Abstract

In this paper, the prey‐predator model of five compartments is constructed with treatment given to infected prey and infected predator. We took predation incidence rates as functional response type II, and disease transmission incidence rates follow simple kinetic mass action function. The positivity, boundedness, and existence of the solution of the model are established and checked. Equilibrium points of the models are identified, and local stability analyses of trivial equilibrium, axial equilibrium, and disease‐free equilibrium points are performed with the method of variation matrix and the Routh‐Hurwitz criterion. It is found that the trivial equilibrium point Eo is always unstable, and axial equilibrium point EA is locally asymptotically stable if βk − (t1 + d2)

Suggested Citation

  • Abayneh Fentie Bezabih & Geremew Kenassa Edessa & Koya Purnachandra Rao, 2021. "Ecoepidemiological Model and Analysis of Prey‐Predator System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnljam:v:2021:y:2021:i:1:n:6679686
    DOI: 10.1155/2021/6679686
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    References listed on IDEAS

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    1. Sharma, Swarnali & Samanta, G.P., 2015. "A Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 69-84.
    2. Yong Ye & Hua Liu & Yu-mei Wei & Ming Ma & Kai Zhang, 2019. "Dynamic Study of a Predator‐Prey Model with Weak Allee Effect and Delay," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    3. Yong Ye & Hua Liu & Yu-mei Wei & Ming Ma & Kai Zhang, 2019. "Dynamic Study of a Predator-Prey Model with Weak Allee Effect and Delay," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-15, August.
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    1. Roaa Hatem Talib & Raid Kamel Naji, 2025. "The Effect of Fear and Refuge on the Dynamics of a Predator–Prey Model Incorporating Disease in Predator," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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