Asymptotic behaviors of a two prey one predator model with cooperation among the prey species in a stochastic environment

  • Soumen KunduEmail author
  • Sarit Maitra
Original Research


In this paper, a two prey and one predator model with logistic growth in prey species have been considered in presence of stochastic perturbation. The cooperation among the preys against predation is assumed. Necessary conditions for asymptotic behavior around the equilibrium points of its deterministic system with and without stochasticity have been discussed. Finally, to illustrate the analytical results, numerical simulations have been performed.


Predator–prey model Boundedness Global asymptotic stability Ito’s formula Stationary distribution Ergodicity 

Mathematics Subject Classification

37A30 37A50 92B05 



We thank the anonymous referee for valuable suggestions to improve the article. Soumen Kundu thankful to DST, New Delhi, India, for its financial support under INSPIRE fellowship, without which this research would not have been possible.


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Copyright information

© Korean Society for Computational and Applied Mathematics 2019

Authors and Affiliations

  1. 1.Department of MathematicsNational Institute of Technology DurgapurDurgapurIndia

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