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 sprea...
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| Format: | Article |
| Language: | English |
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College of Education for Pure Sciences
2024-12-01
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| Series: | Wasit Journal for Pure Sciences |
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| Online Access: | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/595 |
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| author | Hawda Numan Arkan Mustafa |
| author_facet | Hawda Numan Arkan Mustafa |
| author_sort | Hawda Numan |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-f9f9480d4caa4466b95e513700958bb7 |
| institution | Kabale University |
| issn | 2790-5233 2790-5241 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | College of Education for Pure Sciences |
| record_format | Article |
| series | Wasit Journal for Pure Sciences |
| spelling | doaj-art-f9f9480d4caa4466b95e513700958bb72024-12-29T21:04:25ZengCollege of Education for Pure SciencesWasit Journal for Pure Sciences2790-52332790-52412024-12-013410.31185/wjps.595Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional responseHawda Numan0Arkan Mustafa1Department of Mathematics, College of Education, University of Sulaimani, IRAQ.Department of Mathematics, College of Education, University of Sulaimani, IRAQ. 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. https://wjps.uowasit.edu.iq/index.php/wjps/article/view/595: Fear, disease, Functional response, local stability, Global stability |
| spellingShingle | Hawda Numan Arkan Mustafa Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response Wasit Journal for Pure Sciences : Fear, disease, Functional response, local stability, Global stability |
| title | Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response |
| title_full | Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response |
| title_fullStr | Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response |
| title_full_unstemmed | Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response |
| title_short | Role of Fear and disease on the Dynamics of two prey-one predator model with extended Holling type II functional response |
| title_sort | role of fear and disease on the dynamics of two prey one predator model with extended holling type ii functional response |
| topic | : Fear, disease, Functional response, local stability, Global stability |
| url | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/595 |
| work_keys_str_mv | AT hawdanuman roleoffearanddiseaseonthedynamicsoftwopreyonepredatormodelwithextendedhollingtypeiifunctionalresponse AT arkanmustafa roleoffearanddiseaseonthedynamicsoftwopreyonepredatormodelwithextendedhollingtypeiifunctionalresponse |