Modeling the Dynamics of Endemic Malaria Transmission with the Effects of Control Measure

Edossa, Dereje Gutema; Wedajo, Alemu Geleta; Koya, Purnachandra Rao

doi:10.11648/j.ajam.20200803.17

Cited by 3 publications

(3 citation statements)

References 16 publications

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“…The effect of controlling technique in the spread of malaria, HIV/AIDS, TB, and COVID-19 is analyzed. Using these notations, seven classes of compartmental models are possible, SI, SEIR, SEI, SEIS, SIR, SIRS, SPITR, SEIR and SEIRS [26][27][28][29]. For example, in an SEIRS model, a fraction of the susceptible (S) population gets to infection, a part of which then becomes infectious (I).…”

Section: Model Formulationmentioning

confidence: 99%

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Modelling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease

Kobe¹

2020

MCS

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This paper proposes and analyses a basic deterministic mathematical model to investigate Modeling and Analysis of effect of awareness program by media on the spread COVID-19 Pandemic Disease. The model has seven non-linear differential equations, which describe the effects of awareness programs by media on the spread of COVID-19 Pandemic diseases. Analytical study carried out to investigate the model analysis and existence of stability of system, given threshold parameters known as the basic reproduction number, which obtained using next generation matrix method. The equilibrium of COVID 19 models is determined. In addition to having a disease-free equilibrium, which is globally asymptotically stable when the basic reproduction number less than one, COVID 19 model manifest one's possession of (a quality of) the phenomenon of backward bifurcation where a stable disease-free equilibrium co-exists (at the same time) with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The analysis and simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of COVID 19 pandemic were suggest using that awareness programs through the media campaigning are helpful in decreasing the spread of COVID 19 Pandemic diseases by isolating a fraction of susceptible from infective.

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Section: Model Formulationmentioning

confidence: 99%

“…Take the effect of depletion of awareness programs with time have also into account while modeling and analyzing the system. The proposed model had visualized as the co-existence of causing a COVID 19 pandemic disease [27][28].…”

Section: Introductionmentioning

confidence: 99%

Modelling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease

Kobe¹

2020

MCS

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“…Many deterministic mathematical models developed for simulating the Malaria disease transmission in [8,9,10,11,12,13,14]. Some authors have included climate change effect in their models in [15,16], and some authors included Malaria disease control interventions in [17,18,19]. Other authors have used optimal control in [20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model for Malaria Disease Transmission

Alhaj

2023

J. Math. Anal. Model.

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Malaria is one of the fatal diseases caused by plasmodium parasites and transmitted to humans through biting of the female of {\it Anopheles} mosquitoes. We proposed a deterministic mathematical model for simulating Malaria disease transmission between humans and mosquitoes. The basic reproduction number $\mathcal{R}_{0}$ is determined by using the next-generation matrix approach. Stability conditions for the model equilibrium points with respect to $\mathcal{R}_{0}$ derived and we show that the forward bifurcation occurred. When $\mathcal{R}_{0} <1$ or $\mathcal{R}_{0} >1$ the Malaria disease dies out or spreads, respectively. The sensitivity analysis for the basic reproduction number $\mathcal{R}_{0}$ fulfilled locally and globally. The model simulation was found by using Runge--Kutta fourth order method in MATLAB. Furthermore, The effects of the important parameters were investigated, and the obtained results were presented in graphical forms. Also, we obtained that the simulation results agree with the stability analysis for $E_{def}$. We discussed the impacts of the Malaria disease control interventions on the important parameter for Malaria disease transmission. Recommendation for control and eradicating Malaria disease transmission provided.

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Intervention portfolios analysis of Plasmodium vivax control in central China

Bi,

Wu,

Liu

et al. 2024

Malar J

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Background The effects of a diverse spectrum of malaria interventions were evaluated through a deterministic Plasmodium vivax transmission model. This approach aimed to provide theoretical evidence of the performance of these interventions once implemented for achieving malaria elimination. Methods An integrated intervention portfolio, including mass drug administration, insecticide treatment, and untreated bed nets, was analyzed through modeling. Additionally, data-driven calibration was implemented to infer coverages that effectively reproduced historical malaria patterns in China from 1971 to 1983. Results MDA utilizing primaquine emerged as the most effective single intervention, achieving a 70% reduction in malaria incidence when implemented at full coverage. Furthermore, a strategic combination of MDA with primaquine, chloroquine, untreated bed nets, and seasonal insecticide treatments effectively eradicated malaria, attaining elimination at a coverage level of 70%. It was conclusively demonstrated that an integrated approach combining MDA and vector control measures is essential for the successful elimination of malaria. Conclusion High coverage of mass drug administration with primaquine and chloroquine before transmission was the key driver of the malaria decline in China from 1971 to 1983. The best-fit intervention coverage combinations derived from calibration are provided as a reference for malaria control in other countries. Supplementary Information The online version contains supplementary material available at 10.1186/s12936-024-05063-1.

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Modeling the Dynamics of Endemic Malaria Transmission with the Effects of Control Measure

Cited by 3 publications

References 16 publications

Modelling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease

Modelling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease

Mathematical Model for Malaria Disease Transmission

Intervention portfolios analysis of Plasmodium vivax control in central China

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