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Large deviations for the stochastic predator–prey model with nonlinear functional response

Part of: Limit theorems Nonlinear dynamics Stochastic analysis

Published online by Cambridge University Press:  22 June 2017

M. Suvinthra  and
K. Balachandran
M. Suvinthra*
Affiliation:
Bharathiar University
K. Balachandran*
Affiliation:
Bharathiar University
*
* Postal address: Department of Mathematics, Bharathiar University, Coimbatore 641046, India.
* Postal address: Department of Mathematics, Bharathiar University, Coimbatore 641046, India.
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Abstract

In this paper we consider a diffusive stochastic predator–prey model with a nonlinear functional response and the randomness is assumed to be of Gaussian nature. A large deviation principle is established for solution processes of the considered model by implementing the weak convergence technique.

Keywords

Predator–prey modelpopulation dynamicslarge deviationstochastic partial differential equation

MSC classification

Primary: 92D25: Population dynamics (general) 60H15: Stochastic partial differential equations
Secondary: 70K50: Bifurcations and instability 60F10: Large deviations
Type
Research Papers
Information
Journal of Applied Probability , Volume 54 , Issue 2 , June 2017 , pp. 507 - 521
Copyright
Copyright © Applied Probability Trust 2017 

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