A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population

Beretta, Edoardo; Capasso, Vincenzo; Garao, Dario G.

doi:10.1016/j.mbs.2018.03.024

Cited by 25 publications

(22 citation statements)

References 15 publications

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“…It can carry and spread viruses to humans and animals causes many of deaths every year. A great efforts has been paid to develop and analyze mathematical models that describe the population dynamics of mosquito-borne diseases such as Zika [2,4,7], dengue [1,27,43,48], malaria [3,5,6,36], yellow fever [40] and chikungunya [8-10, 34, 37-39, 46]. Chikungunya virus (CHIKV) is transmitted to humans by infected Aedes albopictus and Aedes agypti mosquito.…”

Section: Introductionmentioning

confidence: 99%

Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II

Ełaiw¹,

Almalki²,

Hobiny³

2019

J. Math. Computer Sci.

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In this work, we analyze the global dynamics of within-host Chikungunya virus (CHIKV) infection model with humoral immune response. We incorporate two modes of infections, attaching a CHIKV to a host monocyte, and contacting an infected monocyte with an uninfected monocyte. The infection incident rate is given by Holling type-II. The basic reproduction number R 0 is used to prove that the CHIKV-free equilibrium E 0 is globally asymptotically stable when R 0 1 and the infected equilibrium E 1 is globally asymptotically stable when R 0 > 1. Numerical simulations have been performed to confirm the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II

Ełaiw¹,

Almalki²,

Hobiny³

2019

J. Math. Computer Sci.

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“…A difficult task which has emerged during the current research on malaria has been the identification of parameters for a real epidemic. For the case of malaria, some parameters have been identified in the literature, as reported in [4,8]. In a near future, we would like to implement the algorithms as from the above, with a full set of required parameters.…”

Section: Future Directionsmentioning

confidence: 99%

Regional Control for Spatially Structured Mosquito Borne Epidemics

2021

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This paper is a continuation of a previous paper by the first two authors to appear in the same IWR Special Issue for Scientific Computing. We are concerned with an optimal regional control problem for spatially structured vector borne epidemic system, considering malaria as a case study. A conceptual reduced mathematical model of malaria had been presented consisting of a two-component reaction-diffusion system. Three actions (controls) had been included: killing mosquitoes, treating the infected humans and reducing the contact rate mosquitoes-humans. The problem which is faced concerns the optimal choice of the region of intervention, by introducing a cost functional which takes into account the total cost of the damages produced by the disease, of the controls and of the intervention in a certain subdomain, for a finite time horizon case. A gradient algorithm had been proposed for the search of a minimal value of the cost functional, with respect to both the control parameters and the region of intervention. The scope of the present paper concerns the numerical implementation of such an algorithm. The level set method has played a major role for the mathematical description of the subregion of intervention. The outcomes of a series of numerical simulations are reported, under a variety of parameter scenarios.

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“…Mathematical models have been formulated by many researchers, and the earliest malaria model was formulated by Ross (1911). Recent publications by Traore and Sangare (2018), Berretta and Capasso (1986), Beretta et al (2018) and Gimba and Bala (2017) have proved valuable in this study. Also, mathematical models have been developed and analyzed to describe toxoplasmosis in humans and the zoonotic host.…”

Section: Introductionmentioning

confidence: 98%

Mathematical Modeling of the Coinfection Dynamics of Malaria-Toxoplasmosis in the Tropics

Ogunmiloro

2019

Biometrical Letters

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Coinfection by Plasmodium species and Toxoplasma gondii in humans is widespread, with its endemic impact mostly felt in the tropics. A mathematical model is formulated as a first-order nonlinear system of ordinary differential equations to describe the coinfection dynamics of malariatoxoplasmosis in the mainly human and feline susceptible host population in tropical regions. Comprehensive mathematical techniques are applied to show that the model system is bounded, positive and realistic in an epidemiological sense. Also, the basic reproduction number (R omt ) of the coinfection model is obtained. It is shown that if R omt < 1, the model system at its malaria-toxoplasmosis absent equilibrium is both locally and globally asymptotically stable. The impact of toxoplasmosis and its treatment on malaria, and vice versa, is studied and analyzed. Sensitivity analysis was performed to investigate the impact of the model system parameters on the reproduction number of the transmission of malaria-toxoplasmosis coinfection. Simulations and graphical illustrations were made to validate the results obtained from the theoretical model.

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A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population

Cited by 25 publications

References 15 publications

Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II

Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II

Regional Control for Spatially Structured Mosquito Borne Epidemics

Mathematical Modeling of the Coinfection Dynamics of Malaria-Toxoplasmosis in the Tropics

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