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mathematical model

Malaria and COVID-19 co-dynamics: A mathematical model and optimal control

October 11, 2021 - 19:39 -- Open Access
Tchoumi SY, Diagne ML, Rwezaura H, Tchuenche JM
Appl Math Model. 2021 Nov;99:294-327

Malaria, one of the longest-known vector-borne diseases, poses a major health problem in tropical and subtropical regions of the world. Its complexity is currently being exacerbated by the emerging COVID-19 pandemic and the threats of its second wave and looming third wave. We formulate and analyze a mathematical model incorporating some epidemiological features of the co-dynamics of both malaria and COVID-19. Sufficient conditions for the stability of the malaria only and COVID-19 only sub-models' equilibria are derived.

NOT Open Access | Antibody Dynamics for Plasmodium vivax Malaria: A Mathematical Model

January 6, 2021 - 12:54 -- NOT Open Access
Mehra S, McCaw JM, Flegg MB, Taylor PG, Flegg JA
Bull Math Biol. 2021 Jan 2;83(1):6

Malaria is a mosquito-borne disease that, despite intensive control and mitigation initiatives, continues to pose an enormous public health burden. Plasmodium vivax is one of the principal causes of malaria in humans. Antibodies, which play a fundamental role in the host response to P. vivax, are acquired through exposure to the parasite. Here, we introduce a stochastic, within-host model of antibody responses to P. vivax for an individual in a general transmission setting.

Modelling malaria dynamics with partial immunity and protected travellers: optimal control and cost-effectiveness analysis

December 2, 2020 - 08:46 -- Open Access
Olaniyi S, Okosun KO, Adesanya SO, Lebelo RS
J Biol Dyn. 2020 Dec;14(1):90-115

A mathematical model of malaria dynamics with naturally acquired transient immunity in the presence of protected travellers is presented. The qualitative analysis carried out on the autonomous model reveals the existence of backward bifurcation, where the locally asymptotically stable malaria-free and malaria-present equilibria coexist as the basic reproduction number crosses unity.

NOT Open Access | Increase hemoglobin level in severe malarial anemia while controlling parasitemia: A mathematical model

August 3, 2020 - 16:21 -- NOT Open Access
Siewe N, Friedman A
Mathematical Biosciences Volume 326, August 2020, 108374

Macrophage migration inhibitory factor (MIF) is a pleiotropic cytokine produced by immune cells; it can play a protective or deleterious role in response to pathogens. The intracellular malaria parasite secretes a similar protein, PMIF. The present paper is concerned with severe malarial anemia (SMA), where MIF suppresses the recruitment of red blood cells (RBCs) from the spleen and the bone marrow.

NOT Open Access | A Malaria Transmission Model Predicts Holoendemic, Hyperendemic, and Hypoendemic Transmission Patterns Under Varied Seasonal Vector Dynamics

November 27, 2019 - 15:58 -- NOT Open Access
Ratti V, Wallace DI
Journal of Medical Entomology, tjz186

A model is developed of malaria (Plasmodium falciparum) transmission in vector (Anopheles gambiae) and human populations that include the capacity for both clinical and parasite suppressing immunity. This model is coupled with a population model for Anopheles gambiae that varies seasonal with temperature and larval habitat availability. At steady state, the model clearly distinguishes uns hypoendemic transmission patterns from stable hyperendemic and holoendemic patterns of transmission.

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