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Dynamics of a fractional order predator-prey model with intraguild predation

Dynamics of a fractional order predator-prey model with intraguild predation In this paper, a fractional order predator–prey mathematical model has been developed. In this model, the concept of intraguild predation has been introduced. It is assumed that intermediate predator consumes only prey and intraguild predator consumes prey as well as intermediate predator. Also, intraspecific competition of prey, intermediate predator and intraguild predator has been considered. Uniqueness, boundedness and non-negativity of solutions of our proposed model have been discussed. Different possible equilibrium points are determined and the stability of our proposed model around these equilibrium points has been studied. It is found that fractional order system can show some interesting dynamics of our proposed model. Finally, some numerical simulation results have been presented to verify our theoretical findings. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Modelling and Simulation Taylor & Francis

Dynamics of a fractional order predator-prey model with intraguild predation

Dynamics of a fractional order predator-prey model with intraguild predation

International Journal of Modelling and Simulation , Volume 39 (4): 13 – Oct 2, 2019

Abstract

In this paper, a fractional order predator–prey mathematical model has been developed. In this model, the concept of intraguild predation has been introduced. It is assumed that intermediate predator consumes only prey and intraguild predator consumes prey as well as intermediate predator. Also, intraspecific competition of prey, intermediate predator and intraguild predator has been considered. Uniqueness, boundedness and non-negativity of solutions of our proposed model have been discussed. Different possible equilibrium points are determined and the stability of our proposed model around these equilibrium points has been studied. It is found that fractional order system can show some interesting dynamics of our proposed model. Finally, some numerical simulation results have been presented to verify our theoretical findings.

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References (50)

Publisher
Taylor & Francis
Copyright
© 2019 Informa UK Limited, trading as Taylor & Francis Group
ISSN
1925-7082
eISSN
0228-6203
DOI
10.1080/02286203.2019.1611311
Publisher site
See Article on Publisher Site

Abstract

In this paper, a fractional order predator–prey mathematical model has been developed. In this model, the concept of intraguild predation has been introduced. It is assumed that intermediate predator consumes only prey and intraguild predator consumes prey as well as intermediate predator. Also, intraspecific competition of prey, intermediate predator and intraguild predator has been considered. Uniqueness, boundedness and non-negativity of solutions of our proposed model have been discussed. Different possible equilibrium points are determined and the stability of our proposed model around these equilibrium points has been studied. It is found that fractional order system can show some interesting dynamics of our proposed model. Finally, some numerical simulation results have been presented to verify our theoretical findings.

Journal

International Journal of Modelling and SimulationTaylor & Francis

Published: Oct 2, 2019

Keywords: Prey; intermediate predator; intraguild predator; fractional order; stability

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