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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Analysis of Stochastic Diffusive Predator PreyModel with Hyperbolic Mortality Rate

Discontinuity, Nonlinearity, and Complexity 5(3) (2016) 223--237 | DOI:10.5890/DNC.2016.09.003

M. Suvinthra$^{1}$, K. Balachandran$^{1}$, M. Sambath$^{2}$

$^{1}$ Department of Mathematics, Bharathiar University, Coimbatore 641 046, India

$^{2}$ Department of Mathematics, Periyar University, Salem 636 011, India

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Abstract

In this work, we establish a Freidlin-Wentzell type large deviation principle for a diffusive predator-prey modelwith hyperbolic mortality rate perturbed by multiplicative type Gaussian noise. We implement the variational representation developed by Budhiraja and Dupuis to establish the large deviation principle for the solution processes.

Acknowledgments

The first author would like to thank the Department of Science and Technology (DST), Government of India, New Delhi for their financial support under the INSPIRE Fellowship Scheme. The work of the second author is supported by Defence Research and Development Organization (DRDO), Government of India. The work of the third author is supported by University Grants Commission (UGC), New Delhi, Government of India under the Special Assistance Programme (SAP - 1).

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