Mathematical Analysis of the Dynamics of Malaria Disease Transmission Model

Bakare, Emmanuel A.; Nwozo, Chuma Raphael

doi:10.12732/ijpam.v99i4.3

Cited by 6 publications

(4 citation statements)

References 21 publications

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“…To have a better understanding of the transmission of malaria disease dynamics and found appropriate control strategies, the use of a mathematical model has become very necessary. Several research has been done in the area of mathematical modeling of malaria (Anderson and May, 1991;Bakare and Nwozo, 2015;Chitnis, et. al., 2006;Forouzannia, 2014;Hyun, 2000;Isoa, et.…”

Section: Introductionmentioning

confidence: 99%

The APPROXIMATE SOLUTIONS OF MALARIA DISEASE TRANSMISSION MODEL: USING MUTI-STEP DIFFERENTIAL TRANSFORMATION METHOD

Akogwu¹

2023

FJS

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In this paper, numerical solutions to the SPEIR-SEI Malaria disease model were obtained using the Multi-Step Differential Transformation Method (MS-DTM). MS-DTM is a semi-analytical method for solving a system of a non-linear differential equation where its exact solution is difficult to obtain. The analytical solution of MS-DTM was compared with the solution of Maple21’s in-built classical fourth-order Runge-Kutta method. The results demonstrate the reliability and efficiency of the method and the graphs show that the solutions from both methods agreed well with each other.

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Section: Introductionmentioning

confidence: 99%

The APPROXIMATE SOLUTIONS OF MALARIA DISEASE TRANSMISSION MODEL: USING MUTI-STEP DIFFERENTIAL TRANSFORMATION METHOD

Akogwu¹

2023

FJS

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“…Among the total casualties, 80% were the children under the age of five years in that area [3]. Despite decades of global eradication and control efforts, the disease is re-emerging in areas where control efforts were once effective and emerging in areas thought free of the disease [4].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions

Basir¹,

Abraha²

2023

Preprint

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Malaria is a critical fevered illness caused by Plasmodium parasites transmitted among people through the bites of infected female Anopheles mosquitoes. Public awareness about the disease is important for the control of disease. This article proposes a mathematical model to study the dynamics of malaria disease transmission with the influence of awareness-based control interventions. We found two equilibria of the model, namely the disease-free and endemic equilibrium. Disease-free equilibrium is stable globally if basic reproduction number (R0) is less than unity (R0&lt;1). Some basic mathematical properties of the proposed model, such as nonnegativity and boundedness of solutions, the feasibility of the equilibrium points and their stability properties, have been studied. Finally, we adopted optimal control to minimize the cost of disease control and solve the problem by formulating Hamiltonian functional. The optimal use of insecticides for controlling the mosquito population is determined. Numerical simulations have been provided for the confirmation of the analytical results. We conclude that media awareness with optimal control approach is best for cost-effective malaria disease management.

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“…The disease reappears in areas where control efforts were effective and is emerging in areas considered free from the disease despite decades of eradication and control efforts of this epidemic [2] [3] [4]. In fact, it seems important to us, in this context, to make a scientific contribution in the quest for a good understanding of the transmission dynamics of the latter in order to optimize interventions for effective control and eradication of the disease.…”

Section: Introductionmentioning

confidence: 99%

“…The remainder of this paper is structured as follows: we present the formulation of the malaria transmission model in Section (2). In section (3), we develop the existence and positivity of solutions.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Malaria Transmission Dynamics: Case of Burundi

Egide¹,

Gahungu²

2021

JAMP

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Burundi, a country in East Africa with a temperate climate, has experienced in recent years a worrying growth of the Malaria epidemic. In this paper, a deterministic model of the transmission dynamics of malaria parasite in mosquito and human populations was formulated. The mathematical model was developed based on the SEIR model. An epidemiological threshold, 0 R , called the basic reproduction number was calculated. The disease-free equilibrium point was locally asymptotically stable if 0 1 R < and unstable if

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Mathematical Analysis of the Dynamics of Malaria Disease Transmission Model

Cited by 6 publications

References 21 publications

The APPROXIMATE SOLUTIONS OF MALARIA DISEASE TRANSMISSION MODEL: USING MUTI-STEP DIFFERENTIAL TRANSFORMATION METHOD

The APPROXIMATE SOLUTIONS OF MALARIA DISEASE TRANSMISSION MODEL: USING MUTI-STEP DIFFERENTIAL TRANSFORMATION METHOD

Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions

Mathematical Modeling of Malaria Transmission Dynamics: Case of Burundi

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