Deterministic and Stochastic Dynamics of an Eco-epidemiological Model


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Authors

  • B. N. R. Karuna Department of Basic Science Humanities, Vignan Institute of Technology and Science, Deshmukhi (v), Hyderabad, India
  • K. Lakshmi Narayan Department of Basic Science Humanities, Vignan Institute of Technology and Science, Deshmukhi (v), Hyderabad, India
  • B. Ravindra Reddy Department of Mathematics, JNTU College of Engineering, Kukatpally, Hyderabad, India

Keywords:

Eco-epidemiology, Stochastic stability, Predator-prey model, Lyapunov function

Abstract

A three-compartmental eco-epidemiological model consisting of three species, namely, the susceptible prey, the infected prey and the predator population is considered. The SIR type deterministic epidemiological models are revisited and stochastic modeling for those models is introduced. The exponential and mean square stability for the stochastic model is derived and the considerable discrepancy between the results of stochastic and deterministic models is supported by numerical simulations with a hypothetical set of data.

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Published

15-12-2017

How to Cite

B. N. R. Karuna, K. Lakshmi Narayan, & B. Ravindra Reddy. (2017). Deterministic and Stochastic Dynamics of an Eco-epidemiological Model. International Journal of Mathematics And Its Applications, 5(4 - E), 801–808. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1340

Issue

Vol. 5 No. 4 - E (2017)

Section

Research Article

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