Impact of Awareness to Control Malaria Disease: A Mathematical Modeling Approach
Joint Authors
Ibrahim, Malik Muhammad
Kamran, Muhammad Ahmad
Naeem Mannan, Malik Muhammad
Kim, Sangil
Jung, Il Hyo
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The mathematical modeling of malaria disease has a crucial role in understanding the insights of the transmission dynamics and corresponding appropriate prevention strategies.
In this study, a novel nonlinear mathematical model for malaria disease has been proposed.
To prevent the disease, we divided the infected population into two groups, unaware and aware infected individuals.
The growth rate of awareness programs impacting the population is assumed to be proportional to the unaware infected individuals.
It is further assumed that, due to the effect of awareness campaign, the aware infected individuals avoid contact with mosquitoes.
The positivity and the boundedness of solutions have been derived through the completing differential process.
Local and global stability analysis of disease-free equilibrium has been investigated via basic reproductive number R0, if R0 < 1, the system is stable otherwise unstable.
The existence of the unique endemic equilibrium has been also determined under certain conditions.
The solution to the proposed model is derived through an iterative numerical technique, the Runge–Kutta method.
The proposed model is simulated for different numeric values of the population of humans and anopheles in each class.
The results show that a significant increase in the population of susceptible humans is achieved in addition to the decrease in the population of the infected mosquitoes.
American Psychological Association (APA)
Ibrahim, Malik Muhammad& Kamran, Muhammad Ahmad& Naeem Mannan, Malik Muhammad& Kim, Sangil& Jung, Il Hyo. 2020. Impact of Awareness to Control Malaria Disease: A Mathematical Modeling Approach. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1144480
Modern Language Association (MLA)
Ibrahim, Malik Muhammad…[et al.]. Impact of Awareness to Control Malaria Disease: A Mathematical Modeling Approach. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1144480
American Medical Association (AMA)
Ibrahim, Malik Muhammad& Kamran, Muhammad Ahmad& Naeem Mannan, Malik Muhammad& Kim, Sangil& Jung, Il Hyo. Impact of Awareness to Control Malaria Disease: A Mathematical Modeling Approach. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1144480
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144480