Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response

This paper deals with the studying and modeling the dynamical interaction between two prey where one of the prey species behave stronger than other, and one predator species,. The influence of fear is integrated into the development rate of vulnerable prey species owing to predation, with the spread of a SI illness among robust prey species. Here it is considered that predator both prey according to Holling type II functional response for two prey species. Then the formulation of the model is described and the boundness of solution of the system is discussed. The local stability as well as global stability for each model steady states is analyzed. Finally, with the help of MATLAB program, it is performed numerical simulations to support the evidence of our analytical results. Finally, a brief conclusion on the total work is given.

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Publication Details

Journal
Wasit Journal of Pure sciences
Published
2024-12-29
DOI
https://doi.org/10.31185/wjps.595
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
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article
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article

Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response

Arkan Mustafa, Hawda Numan
Wasit Journal of Pure sciences
Mathematical and Theoretical Epidemiology and Ecology Models
article

Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response

Arkan Mustafa, Hawda Numan
article en

Abstract

This paper deals with the studying and modeling the dynamical interaction between two prey where one of the prey species behave stronger than other, and one predator species,. The influence of fear is integrated into the development rate of vulnerable prey species owing to predation, with the spread of a SI illness among robust prey species. Here it is considered that predator both prey according to Holling type II functional response for two prey species. Then the formulation of the model is described and the boundness of solution of the system is discussed. The local stability as well as global stability for each model steady states is analyzed. Finally, with the help of MATLAB program, it is performed numerical simulations to support the evidence of our analytical results. Finally, a brief conclusion on the total work is given.

Wasit Journal of Pure sciencesVol. 3(4)
University of Sulaimani (IQ)
Life in Land
Openalex Percentile: Top 63%
Mathematical and Theoretical Epidemiology and Ecology Models
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Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response — Arkan Mustafa, Hawda Numan · Wasit Journal of Pure sciences (2024) | TGRS Research Map | TGRS