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Nonlinear Dynamics

, Volume 97, Issue 4, pp 2777–2798 | Cite as

Dynamics of two-prey one-predator non-autonomous type-III stochastic model with effect of climate change and harvesting

  • Sampurna SenguptaEmail author
  • Pritha Das
Original paper
  • 68 Downloads

Abstract

In this article, we study the dynamical behavior of polar bear preying on ringed and bearded seals. Stochastic non-autonomous Holling type-III two-prey one-predator model is formulated with harvesting in prey species and intra-specific competition among predators. The growth rates and harvesting terms of the system have been perturbed with white noise. Effect of climate change on growth rates of the species has been considered here. At first, feasibility of the model system has been established by the existence of global positive solution. Then sufficient conditions for extinction, non-persistence in mean, weakly persistence in mean and permanence of the populations are demonstrated. Theoretical results are verified numerically. Finally, ecological interpretations are given in the concluding section.

Keywords

Stochastic Holling type-III Climate change effect Harvest Intra-specific competition Permanence Extinction 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Engineering Science and TechnologyShibpur, HowrahIndia

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