Discontinuity, Nonlinearity, and Complexity
Analysis of Stochastic Diffusive Predator PreyModel with Hyperbolic Mortality Rate
Discontinuity, Nonlinearity, and Complexity 5(3) (2016) 223237  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 FreidlinWentzell type large deviation principle for a diffusive predatorprey 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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