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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103, India

    Sampurna Sengupta & Pritha Das

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  1. Sampurna Sengupta
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  2. Pritha Das
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Correspondence to Sampurna Sengupta.

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Sengupta, S., Das, P. Dynamics of two-prey one-predator non-autonomous type-III stochastic model with effect of climate change and harvesting. Nonlinear Dyn 97, 2777–2798 (2019). https://doi.org/10.1007/s11071-019-05163-7

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  • DOI: https://doi.org/10.1007/s11071-019-05163-7

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