Mathematical model of dengue virus with predator-prey interactions
In this paper, a mathematical model of dengue incorporating two sub-models that: describes the linked dynamics between predator-prey of mosquitoes at the larval stage, and describes the dengue spread between humans and adult mosquitoes, is formulated to simulate the dynamics of dengue spread. The...
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Penerbit Universiti Kebangsaan Malaysia
2020
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my-ukm.journal.154112020-10-23T01:42:08Z http://journalarticle.ukm.my/15411/ Mathematical model of dengue virus with predator-prey interactions Sarinah Banu Mohamed Siddik, Farah Aini Abdullah, Ahmad Izani Md. Ismail, In this paper, a mathematical model of dengue incorporating two sub-models that: describes the linked dynamics between predator-prey of mosquitoes at the larval stage, and describes the dengue spread between humans and adult mosquitoes, is formulated to simulate the dynamics of dengue spread. The effect of predator-prey dynamics in controlling the dengue disease at the larval stage of mosquito populations is investigated. Stability analysis of the equilibrium points are carried out. Numerical simulations results indicate that the use of predator-prey dynamics of mosquitoes at the larval stage as biological control agents for controlling the larval stage of dengue mosquito assists in combating dengue virus contagion. Penerbit Universiti Kebangsaan Malaysia 2020-05 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/15411/1/24.pdf Sarinah Banu Mohamed Siddik, and Farah Aini Abdullah, and Ahmad Izani Md. Ismail, (2020) Mathematical model of dengue virus with predator-prey interactions. Sains Malaysiana, 49 (5). pp. 1191-1200. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid49bil5_2020/KandunganJilid49Bil5_2020.html |
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In this paper, a mathematical model of dengue incorporating two sub-models that: describes the linked dynamics
between predator-prey of mosquitoes at the larval stage, and describes the dengue spread between humans and adult
mosquitoes, is formulated to simulate the dynamics of dengue spread. The effect of predator-prey dynamics in
controlling the dengue disease at the larval stage of mosquito populations is investigated. Stability analysis of the
equilibrium points are carried out. Numerical simulations results indicate that the use of predator-prey dynamics of
mosquitoes at the larval stage as biological control agents for controlling the larval stage of dengue mosquito assists
in combating dengue virus contagion. |
format |
Article |
author |
Sarinah Banu Mohamed Siddik, Farah Aini Abdullah, Ahmad Izani Md. Ismail, |
spellingShingle |
Sarinah Banu Mohamed Siddik, Farah Aini Abdullah, Ahmad Izani Md. Ismail, Mathematical model of dengue virus with predator-prey interactions |
author_facet |
Sarinah Banu Mohamed Siddik, Farah Aini Abdullah, Ahmad Izani Md. Ismail, |
author_sort |
Sarinah Banu Mohamed Siddik, |
title |
Mathematical model of dengue virus with predator-prey interactions |
title_short |
Mathematical model of dengue virus with predator-prey interactions |
title_full |
Mathematical model of dengue virus with predator-prey interactions |
title_fullStr |
Mathematical model of dengue virus with predator-prey interactions |
title_full_unstemmed |
Mathematical model of dengue virus with predator-prey interactions |
title_sort |
mathematical model of dengue virus with predator-prey interactions |
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Penerbit Universiti Kebangsaan Malaysia |
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2020 |
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http://journalarticle.ukm.my/15411/1/24.pdf http://journalarticle.ukm.my/15411/ http://www.ukm.my/jsm/malay_journals/jilid49bil5_2020/KandunganJilid49Bil5_2020.html |
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