The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies

The predator-prey model is the most common model dealing with the interaction between two species. The dynamics of a predator-prey model has attracted a lot of attention from many ecologists and mathematicians. This study shows theoretical and numerical results on the analysis of the Leslie-Gower pr...

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Main Author:	Ahmad, Fazilah
Format:	Thesis
Language:	English
Published:	2023
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/60279/1/24%20Pages%20from%20FAZILAH%20BINTI%20AHMAD.pdf
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id	my-usm-ep.60279
record_format	uketd_dc
spelling	my-usm-ep.602792024-03-26T01:09:51Z The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies 2023-05 Ahmad, Fazilah QA1 Mathematics (General) The predator-prey model is the most common model dealing with the interaction between two species. The dynamics of a predator-prey model has attracted a lot of attention from many ecologists and mathematicians. This study shows theoretical and numerical results on the analysis of the Leslie-Gower predator-prey model with different types of predator harvesting strategies namely linear, constant-yield and nonlinear predator harvesting models. We illustrate the numerical bifurcations analysis of codimension-one and codimension-two to show the stability of the steady-states and the behaviour of the model when the harvesting rate change under different harvesting strategies. We analyse each model to determine the existence of local bifurcations such as saddle-node, transcritical, Hopf, and Bogdanov-Takens bifurcations and compare the different type of bifurcations that occurs for each predator harvesting strategy. This study investigates the dynamics of the Leslie-Gower predator-prey model with different harvesting strategies through numerical analysis that corroborate with the critical harvesting rate determined from the theoretical analysis. This study also discovers the significance of predator harvesting strategies in the optimal management of renewable resources using the Leslie-Gower predator-prey model. The choice of the parameter values is crucial with the small difference in the values may cause the predator species extinct if the harvesting rate is greater than the critical harvesting rate. 2023-05 Thesis http://eprints.usm.my/60279/ http://eprints.usm.my/60279/1/24%20Pages%20from%20FAZILAH%20BINTI%20AHMAD.pdf application/pdf en public masters Perpustakaan Hamzah Sendut Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1 Mathematics (General)
spellingShingle	QA1 Mathematics (General) Ahmad, Fazilah The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
description	The predator-prey model is the most common model dealing with the interaction between two species. The dynamics of a predator-prey model has attracted a lot of attention from many ecologists and mathematicians. This study shows theoretical and numerical results on the analysis of the Leslie-Gower predator-prey model with different types of predator harvesting strategies namely linear, constant-yield and nonlinear predator harvesting models. We illustrate the numerical bifurcations analysis of codimension-one and codimension-two to show the stability of the steady-states and the behaviour of the model when the harvesting rate change under different harvesting strategies. We analyse each model to determine the existence of local bifurcations such as saddle-node, transcritical, Hopf, and Bogdanov-Takens bifurcations and compare the different type of bifurcations that occurs for each predator harvesting strategy. This study investigates the dynamics of the Leslie-Gower predator-prey model with different harvesting strategies through numerical analysis that corroborate with the critical harvesting rate determined from the theoretical analysis. This study also discovers the significance of predator harvesting strategies in the optimal management of renewable resources using the Leslie-Gower predator-prey model. The choice of the parameter values is crucial with the small difference in the values may cause the predator species extinct if the harvesting rate is greater than the critical harvesting rate.
format	Thesis
qualification_level	Master's degree
author	Ahmad, Fazilah
author_facet	Ahmad, Fazilah
author_sort	Ahmad, Fazilah
title	The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
title_short	The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
title_full	The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
title_fullStr	The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
title_full_unstemmed	The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
title_sort	numerical bifurcation analysis of leslie-gower predator-prey model with different types of predator harvesting strategies
granting_institution	Perpustakaan Hamzah Sendut
granting_department	Pusat Pengajian Sains Matematik
publishDate	2023
url	http://eprints.usm.my/60279/1/24%20Pages%20from%20FAZILAH%20BINTI%20AHMAD.pdf
_version_	1804888904190394368

The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies

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