Sirs-Si Model of Malaria Disease with Application of Vaccines, Anti-Malarial Drugs, and Spraying

Putri, Randita Gustian; ddin, Jaharu; Bakhtiar, Toni

doi:10.9790/5728-10526672

Cited by 12 publications

(8 citation statements)

References 9 publications

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“…Dalam penelitian ini dibahas model transmisi penyakit malaria dari Laarabi et al, [6] dan Putri et al [8], dengan penambahan kelas terpapar (exposed) pada kedua populasi. Modifikasi serupa dapat dilihat pada Chitnis et al [3] dan Resmawan et al [9].…”

Section: Pendahuluanunclassified

Efektifitas Vaksinasi dan Pengasapan pada Model Epidemik Transmisi Penyakit Malaria

Resmawan

2019

Jambura J. Math

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ABSTRAKDalam artikel ini dibahas model epidemik transmisi penyakit malaria dengan mempertimbangkan faktor pencegahan berupa vaksinasi pada manusia dan pengasapan pada nyamuk. Dalam model ini, populasi manusia dibagi menjadi empat kelas, yaitu rentan, terpapar, terinfeksi, dan pulih. Adapun populasi nyamuk dibagi menjadi tiga kelas, yaitu rentan, terpapar dan terinfeksi. Selanjutnya dilakukan identifikasi bilangan reproduksi dasar (ℛ 0 ) yang merupakan nilai harapan banyaknya infeksi tiap satuan waktu. Pada bagian akhir dalam artikel ini diberikan simulasi numerik untuk menunjukkan efektifitas vaksinasi pada manusia dan pengasapan pada nyamuk untuk menekan laju penularan penyakit. Hasil simulasi menunjukkan bahwa peningkatan efektifitas vaksinasi maupun pengasapan mampu menurunkan angka bilangan reproduksi dasar. Hal tersebut menunjukkan bahwa peningkatan kuantitas vaksinasi dan pengasapan dapat menekan jumlah individu terinfeksi sehingga dalam jangka waktu tertentu penyakit akan menghilang dari populasi. ABSTRACTIn this paper we discuss the epidemic model of malaria transmission by considering vaccines are given to humans and fumigation in mosquitoes. In this model, the human population is divided into four classes, namely susceptible, exposed, infected, and recovered. The mosquito population is divided into three classes, namely susceptible, exposed and infected. Next is done to calculate the base number (ℛ 0 ) which is the expected value of a number of infections per unit of time. At the end of this paper is provided numerical simulations to show the effectiveness of vaccines in humans and fumigation in mosquitoes. The simulation results show that the increase of vaccines effectiveness in human and fumigation effectiveness in mosquito can reduce the reproduction numbers so that within a certain time the disease will disappear from the population.

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Section: Pendahuluanunclassified

Efektifitas Vaksinasi dan Pengasapan pada Model Epidemik Transmisi Penyakit Malaria

Resmawan

2019

Jambura J. Math

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“…Malaria is a disease caused by a parasitic infection transmitted by a mosquito (female Anophele). It can also be passed to human by blood transfusion, sharing needles or congenitally [ 1 ]. According to the 2020 World Health Organization (WHO) report, malaria caused 627,000 deaths, 95% of which were registered in African Region.…”

Section: Introductionmentioning

confidence: 99%

Generalized Linear Models to Forecast Malaria Incidence in Three Endemic Regions of Senegal

Diao

Absil

Diallo

2023

IJERPH

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Affecting millions of individuals yearly, malaria is one of the most dangerous and deadly tropical diseases. It is a major global public health problem, with an alarming spread of parasite transmitted by mosquito (Anophele). Various studies have emerged that construct a mathematical and statistical model for malaria incidence forecasting. In this study, we formulate a generalized linear model based on Poisson and negative binomial regression models for forecasting malaria incidence, taking into account climatic variables (such as the monthly rainfall, average temperature, relative humidity), other predictor variables (the insecticide-treated bed-nets (ITNs) distribution and Artemisinin-based combination therapy (ACT)) and the history of malaria incidence in Dakar, Fatick and Kedougou, three different endemic regions of Senegal. A forecasting algorithm is developed by taking the meteorological explanatory variable Xj at time t−𝓁j, where t is the observation time and 𝓁j is the lag in Xj that maximizes its correlation with the malaria incidence. We saturated the rainfall in order to reduce over-forecasting. The results of this study show that the Poisson regression model is more adequate than the negative binomial regression model to forecast accurately the malaria incidence taking into account some explanatory variables. The application of the saturation where the over-forecasting was observed noticeably increases the quality of the forecasts.

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“…In this study we discussed a malaria transmission model based on [1,2]. Modification of the model is done by addition of exposed classes in both populations with reference to [3].…”

Section: Introductionmentioning

confidence: 99%

SEIRS-SEI Model of Malaria Disease with Application of Vaccines and Anti-Malarial Drugs

Resmawan

2021

Preprint

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This article discusses the mathematical model of SEIRS-SEI type malaria disease. Modification of the model is done by giving the treatment in humans, in the form of vaccines and anti-malarial drugs treatment. In this model, the human population is divided into four classes, namely susceptible human, exposed human, infected human, and recovered human. The mosquito population is divided into three classes, namely susceptible mosquito, exposed mosquito and infected mosquito. Furthermore, the analysis of the model to show the effect of treatment given to disease transmission. At the end of this article is provided numerical simulations to show the effectiveness of vaccines and anti-malarial drugs in humans to suppress the rate of transmission of disease. The simulation results show that the increase of vaccines effectiveness and anti-malarial drugs in humans can reduce the reproduction numbers, so that within a certain time the disease will disappear from the population.

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Sirs-Si Model of Malaria Disease with Application of Vaccines, Anti-Malarial Drugs, and Spraying

Cited by 12 publications

References 9 publications

Efektifitas Vaksinasi dan Pengasapan pada Model Epidemik Transmisi Penyakit Malaria

Efektifitas Vaksinasi dan Pengasapan pada Model Epidemik Transmisi Penyakit Malaria

Generalized Linear Models to Forecast Malaria Incidence in Three Endemic Regions of Senegal

SEIRS-SEI Model of Malaria Disease with Application of Vaccines and Anti-Malarial Drugs

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