Mathematical model for the in-host malaria dynamics subject to malaria vaccines

Orwa, Titus Okello; Mbogo, Rachel Waema; Luboobi, Livingstone S.

doi:10.1080/23737867.2018.1526132

Cited by 9 publications

(5 citation statements)

References 78 publications

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“…The model is a predictive tool in populations for extracting an optimum decision-making strategy (Chang et al, 2020). Game theory has been applied to protection strategies to control diseases such as smallpox (Bauch, Galvani & Earn, 2003), toxoplasmosis (Sykes & Rychtář, 2015), cholera (Kobe et al, 2018), measles (Shim et al, 2012), rubella (Shim, Kochin & Galvani, 2009), influenza (Galvani, Reluga & Chapman, 2007), African sleeping sickness (Crawford et al, 2015), malaria (Orwa, Mbogo & Luboobi, 2018;Broom, Rychtář & Spears-Gill, 2016), (Zika Padmanabhan, Seshaiyer & Castillo-Chavez, 2017;Banuelos et al, 2019) (Polio Cheng et al, 2020, Ebola (Brettin et al, 2018), chikungunya (SRM Klein, AO Foster, DA Feagins, JT Rowell, IV Erovenko, 2019, unpublished data), meningitis (A Martinez, J Machado, E Sanchez, I Erovenko, 2019, unpublished data), typhoid (C Acosta-Alonzo, IV Erovenko, A Lancaster, H Oh, J Rychtář, D Taylor, 2020, unpublished data), Hepatitis C (Scheckelhoff, Ejaz & Erovenko, 2019) and Hepatitis B (Chouhan et al, in press) among others. In this paper, we apply a similar approach to MPX to investigate a scenario in which individuals have the option of vaccinating to reduce the chance of contracting the virus.…”

Section: Introductionmentioning

confidence: 99%

A game-theoretic model of Monkeypox to assess vaccination strategies

Bankuru

Kossol

Hou

et al. 2020

PeerJ

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Monkeypox (MPX) is a zoonotic disease similar to smallpox. Its fatality rate is about 11% and it is endemic to the Central and West African countries. In this paper, we analyze a compartmental model of MPX dynamics. Our goal is to see whether MPX can be controlled and eradicated by voluntary vaccinations. We show that there are three equilibria—disease free, fully endemic and previously neglected semi-endemic (with disease existing only among humans). The existence of semi-endemic equilibrium has severe implications should the MPX virus mutate to increased viral fitness in humans. We find that MPX is controllable and can be eradicated in a semi-endemic equilibrium by vaccination. However, in a fully endemic equilibrium, MPX cannot be eradicated by vaccination alone.

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Section: Introductionmentioning

confidence: 99%

A game-theoretic model of Monkeypox to assess vaccination strategies

Bankuru

Kossol

Hou

et al. 2020

PeerJ

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“…The process of verification is however simpler. We can follow the steps as presented in [59, 60]. Let the total erythrocyte population C ( t ) evolve according to the following formulation:dCdt≤λx−μcC,where μ c =min{ μ x , μ ys , μ yr }.…”

Section: Model Analysismentioning

confidence: 99%

Multiple-Strain Malaria Infection and Its Impacts on Plasmodium falciparum Resistance to Antimalarial Therapy: A Mathematical Modelling Perspective

Orwa

Mbogo

Luboobi

2019

Computational and Mathematical Methods in Medicine

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The emergence of parasite resistance to antimalarial drugs has contributed significantly to global human mortality and morbidity due to malaria infection. The impacts of multiple-strain malarial parasite infection have further generated a lot of scientific interest. In this paper, we demonstrate, using the epidemiological model, the effects of parasite resistance and competition between the strains on the dynamics and control of Plasmodium falciparum malaria. The analysed model has a trivial equilibrium point which is locally asymptotically stable when the parasite’s effective reproduction number is less than unity. Using contour plots, we observed that the efficacy of antimalarial drugs used, the rate of development of resistance, and the rate of infection by merozoites are the most important parameters in the multiple-strain P. falciparum infection and control model. Although the drug-resistant strain is shown to be less fit, the presence of both strains in the human host has a huge impact on the cost and success of antimalarial treatment. To reduce the emergence of resistant strains, it is vital that only effective antimalarial drugs are administered to patients in hospitals, especially in malaria-endemic regions. Our results emphasize the call for regular and strict surveillance on the use and distribution of antimalarial drugs in health facilities in malaria-endemic countries.

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“…The simulation results showed that the increase in vaccine effectiveness and ant-malarial drugs in humans can reduce the reproduction numbers so that within a certain time the disease will vanish from the population. Titus et al [26] modelled and studied the in-host plasmodium falciparum malaria subject to malaria vaccines formulated and analysed. An efficacious pre-erythrocytic vaccine was shown to greatly reduce the severity of clinical malaria.…”

Section: Introductionmentioning

confidence: 99%

A spatial nonlinear mathematical model of malaria transmission dynamics using vector control strategies

Alhassan,

Achema

2023

Preprint

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Malaria is one of the serious life-threatening diseases with negative effects on both the social and economic aspects of human life. Researching into its curtailment or eradication is necessary for elevating human health and social-economic status. In this regard, this study focuses on the spatial nonlinear mathematical model to investigate how vector control strategies are correlated with the dynamics of malaria transmission. The study employs a nonlinear partial differential equations (NPDE) mathematical model to investigate malaria transmission. The model system incorporates human (host), mosquito (vector), and invasive alien plant populations. Some applicable epidemiological mathematical analyses were carried out on the model system, such as critical points, stability, the basic reproduction number, local asymptotic stability (LAS), bifurcation, global asymptotic stability (GAS), wave speed, and numerical analyses using relevant data were extensively analysed. Using the sharp threshold conditions imposed on the basic reproduction number, we were able to show that the model exhibited the backward bifurcation phenomenon and the DFE was shown to be globally asymptotic stable (GAS) under certain conditions. It was found that the invasive alien plants have significant effects on malaria transmission. This study suggests that mosquito repellent plants should be planted around the human environment to replace the invasive plants so as to reduce mosquito shelters and feeding opportunities for mosquitoes.

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Mathematical model for the in-host malaria dynamics subject to malaria vaccines

Cited by 9 publications

References 78 publications

A game-theoretic model of Monkeypox to assess vaccination strategies

A game-theoretic model of Monkeypox to assess vaccination strategies

Multiple-Strain Malaria Infection and Its Impacts on Plasmodium falciparum Resistance to Antimalarial Therapy: A Mathematical Modelling Perspective

A spatial nonlinear mathematical model of malaria transmission dynamics using vector control strategies

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