Mathematical model of the population dynamics of sea turtles at Chagar Hutang Beach Malaysia

Muhammad Afiq Ahmad Khairuddin, . and Ummu Atiqah Mohd Roslan, . and Hamizah Mohd Safuan, . and Mohd Uzair Rusli, . Mathematical model of the population dynamics of sea turtles at Chagar Hutang Beach Malaysia. pp. 327-336. ISSN 2672-7226

In this paper we explore the existing prey-predator dynamics between the sea turtle and its predator within a secluded bay known as Chagar Hutang on Redang Island off the coast of Terengganu state on Peninsular Malaysias east coast. Previous studies show that the extinction of the sea turtle is imminent and there is ample evidence of the decreasing sea turtle population in Malaysia. The authors introduce a new mathematical model of an ordinary differential equation (ODE) as a conservation initiative formulated from the literature of previous studies. This paper also presents a qualitative analysis that is the stability analysis such as the Jacobian matrix and its eigenvalues. The authors find that the population of sea turtle eggs hatchlings and the predators in Chagar Hutang may reach either total extinction or co-existence in a stable state in specific conditions. With the specific condition obtained the model is simulated and the time series plot with the phase portrait diagram is further discussed by the authors.

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Abstract

In this paper we explore the existing prey-predator dynamics between the sea turtle and its predator within a secluded bay known as Chagar Hutang on Redang Island off the coast of Terengganu state on Peninsular Malaysias east coast. Previous studies show that the extinction of the sea turtle is imminent and there is ample evidence of the decreasing sea turtle population in Malaysia. The authors introduce a new mathematical model of an ordinary differential equation (ODE) as a conservation initiative formulated from the literature of previous studies. This paper also presents a qualitative analysis that is the stability analysis such as the Jacobian matrix and its eigenvalues. The authors find that the population of sea turtle eggs hatchlings and the predators in Chagar Hutang may reach either total extinction or co-existence in a stable state in specific conditions. With the specific condition obtained the model is simulated and the time series plot with the phase portrait diagram is further discussed by the authors.

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Item Type:	Article
AGROVOC Term:	Sea turtles
AGROVOC Term:	Population dynamics
AGROVOC Term:	Species threatened with extinction
AGROVOC Term:	Mathematical models
AGROVOC Term:	Predator prey relations
AGROVOC Term:	Nesting
AGROVOC Term:	Eggs
AGROVOC Term:	Endangered species
AGROVOC Term:	Stability
Depositing User:	Mr. AFANDI ABDUL MALEK
Last Modified:	24 Apr 2025 00:55
URI:	http://webagris.upm.edu.my/id/eprint/9973

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