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International Journal of Mathematical Research

January 2017, Volume 6, 1, pp 22-28

Analysis of an Eco-Epidemiological Model with Disease in the Prey and Predator

Lihong Wang


Fanghong Zhang


Cuncheng Jin

Lihong Wang 1 ,

Fanghong Zhang 1 Cuncheng Jin 1 
  1. Longqiao College of Lanzhou University of Finance and Economics, Lanzhou, China 1

Pages: 22-28

DOI: 10.18488/journal.24.2017.61.22.28

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Article History:

Received: 23 December, 2016
Revised: 20 January, 2017
Accepted: 08 March, 2017
Published: 20 April, 2017


We analyze and formulate an Eco-Epidemiological model with disease in the prey and predator, study the existence of the non-negative equilibria, obtain the sufficient conditions of locally asymptotical stability of the equilibria, then analyze the global stability of the positive equilibria.

Contribution/ Originality
This study contributes in the existing literature of Eco-Epidemiological model. We get the conditions of local asymptotic and the existence of the boundary balance, and we proved the positive balance point is global asymptotical stability by constructing Liapunov function.


Eco-epidemiological model, Asymptotically stable, Equilibria, Liapunov function, Prey, Predator.



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This study received no specific financial support.

Competing Interests:

The authors declare that they have no competing interests.


All authors contributed equally to the conception and design of the study.

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