Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia

Overexploitation of marine resources by human activities has become a pandemic issue nowadays. High fishing rates for example, may lead to the extinction of marine populations. In this paper, we introduce a mathematical model of prey-predator system for marine ecosystem with fishing rates for the...

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Main Authors: Mohd Roslan U.A., Mohd Safuan H., Mat Piah R.
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/12802/1/48_01_33.pdf
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author Mohd Roslan U.A.,
Mohd Safuan H.,
Mat Piah R.,
author_facet Mohd Roslan U.A.,
Mohd Safuan H.,
Mat Piah R.,
author_sort Mohd Roslan U.A.,
collection UKM
description Overexploitation of marine resources by human activities has become a pandemic issue nowadays. High fishing rates for example, may lead to the extinction of marine populations. In this paper, we introduce a mathematical model of prey-predator system for marine ecosystem with fishing rates for the case of Terengganu state. For this model, we use squids as prey while snapper fish as predator. The objectives of this paper are to analyze the sustainability of equilibrium populations of squids and snapper fish using stability analysis and to show the effect of fishing rates on both of these populations. This model shows that there are four potential equilibria solutions where both populations of squids and snapper fish may be extinct, mutual exclusions where either one of the species dies out as well as coexistence of both populations. The results for stability analysis reported that the equilibrium of coexistence of both populations was stable while the other was unstable. This means that populations of squids and snapper fish are estimated to sustain in the future with the current fishing activities in Terengganu. Hence, we conjectured that in order to guarantee both populations continue to exist, the fishing activities in Terengganu must be restricted within certain range of parameters that is lower than the population growth rates.
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spelling ukm.eprints-128022019-04-16T08:51:48Z http://journalarticle.ukm.my/12802/ Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia Mohd Roslan U.A., Mohd Safuan H., Mat Piah R., Overexploitation of marine resources by human activities has become a pandemic issue nowadays. High fishing rates for example, may lead to the extinction of marine populations. In this paper, we introduce a mathematical model of prey-predator system for marine ecosystem with fishing rates for the case of Terengganu state. For this model, we use squids as prey while snapper fish as predator. The objectives of this paper are to analyze the sustainability of equilibrium populations of squids and snapper fish using stability analysis and to show the effect of fishing rates on both of these populations. This model shows that there are four potential equilibria solutions where both populations of squids and snapper fish may be extinct, mutual exclusions where either one of the species dies out as well as coexistence of both populations. The results for stability analysis reported that the equilibrium of coexistence of both populations was stable while the other was unstable. This means that populations of squids and snapper fish are estimated to sustain in the future with the current fishing activities in Terengganu. Hence, we conjectured that in order to guarantee both populations continue to exist, the fishing activities in Terengganu must be restricted within certain range of parameters that is lower than the population growth rates. Penerbit Universiti Kebangsaan Malaysia 2019-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/12802/1/48_01_33.pdf Mohd Roslan U.A., and Mohd Safuan H., and Mat Piah R., (2019) Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia. Malaysian Applied Biology, 48 (1). pp. 235-240. ISSN 0126-8643 http://mabjournal.com/index.php?option=com_content&view=article&id=897&catid=59:current-view&Itemid=56
spellingShingle Mohd Roslan U.A.,
Mohd Safuan H.,
Mat Piah R.,
Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia
title Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia
title_full Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia
title_fullStr Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia
title_full_unstemmed Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia
title_short Squids-snapper fish dynamics model with fishing effects in Terengganu, Malaysia
title_sort squids snapper fish dynamics model with fishing effects in terengganu malaysia
url http://journalarticle.ukm.my/12802/1/48_01_33.pdf
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AT mohdsafuanh squidssnapperfishdynamicsmodelwithfishingeffectsinterengganumalaysia
AT matpiahr squidssnapperfishdynamicsmodelwithfishingeffectsinterengganumalaysia