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  5. Mathematical model of dengue virus with predator-prey interactions
 
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Mathematical model of dengue virus with predator-prey interactions

Journal
Sains Malaysiana
ISSN
0126-6039
Date Issued
2020
Author(s)
Sarinah Banu Mohamed Siddik
Universiti Malaysia Perlis
Farah Aini Abdullah
Universiti Sains Malaysia
Ahmad Izani Md. Ismail
Universiti Sains Malaysia
DOI
10.17576/jsm-2020-4905-24
Handle (URI)
https://www.ukm.my/jsm/pdf_files/SM-PDF-49-5-2020/24.pdf
https://www.ukm.my/jsm/
https://hdl.handle.net/20.500.14170/14851
Abstract
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
Subjects
  • Dengue virus

  • Endemic equilibrium

  • Numerical simulation

  • Predator-prey

File(s)
Mathematical model of dengue virus.pdf (759.03 KB)
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