The impact of COVID-19 on a Malaria dominated region: A mathematical analysis and simulations

Ojo, Mayowa M.; Goufo, Emile Franc Doungmo

doi:10.1016/j.aej.2022.09.045

Cited by 9 publications

(4 citation statements)

References 74 publications

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“…Additionally, according to some studies, there is a higher mortality rate for people with COVID-19 and TB co-infection [25] , [35] , [44] , [70] . Several mathematical models have been developed and analyzed to investigate the impact of different control or prevention measures on the dynamic of COVID in different regions [20] , [34] , [46] , [49] , [67] . To better understand the co-dynamics of the two diseases, we present a ten-compartmental deterministic model to investigate how COVID-19 affects the burden of tuberculosis and vice versa.…”

Section: Model Formulationmentioning

confidence: 99%

A mathematical model for the co-dynamics of COVID-19 and tuberculosis

Ojo

Peter

Goufo

et al. 2023

Mathematics and Computers in Simulation

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Section: Model Formulationmentioning

confidence: 99%

A mathematical model for the co-dynamics of COVID-19 and tuberculosis

Ojo

Peter

Goufo

et al. 2023

Mathematics and Computers in Simulation

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“…If R s 0mc < 1, then for any initial values of (S(0), I m (0), I c (0), I mc (0), T m (0), T c (0), T mc (0), R m (0) R c (0), R mc (0)) ∈ R 1 0 0, I(t) obeys lim sup t→∞ 1 t ln I(t) Proof. By taking the Taylor series expansion of F (t, I mc (t)) = ln(I mc (t)) and applying the Itô's formula, we recall (26), that is ,…”

Section: Basic Reproduction Number For Malaria-covid-19 Co-infection ...mentioning

confidence: 99%

“…Like [42], authors including [32,37] also made an assumption of no relapse from the recovered to the susceptible class, an assumption that is critiqued in [36] where the authors did not examine the impact of pharmaceutical control and stochasticity that could arise in real world data. Again, both [26], and [36] examine COVID-19 and malaria co-infection, using deterministic frameworks, thus, failed to account for perturbation in observed data for the COVID-19, Malaria co-infection model.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling and Analysis of Stochastic Malaria and COVID-19 Co-infection Model

Pobbi,

Naandam,

Moore

2023

Preprint

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In this article, we formulate and analyze a stochastic mathematical model for the co-infection of malaria and COVID-19. We study the dynamics and the effect of these diseases in a given population. We establish the basic reproduction number of the disease-free equilibrium point of the stochastic model by means of a suitable Lyapunov function. Moreover, we provide sufficient conditions for the stability of the model around the disease free equilibrium points. Finally, using a few simulation studies we demonstrate our theoretical results. Particularly, we derive threshold values for Malaria only R0Ms, COVID-19 only, Rs0C and co-infection Rs0MC model at the disease-free equilibrium point using the next generation matrix method. Next the conditions for stability in the stochastic sense for Malaria only, COVID-19 only sub models, and full model are established. Further, we devote with full strength our concentrated attention to sufficient conditions for extinction and persistence using each of these reproductive numbers. Finally, by using the Euler-Murayama scheme, we demonstrate the dynamics of the co-infection by means of numerical simulations.

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“…2021 ; Anggriani and Beay 2022 ; Gumel et al. 2021 ; Ojo and Goufo 2023 ; Alleman et al. 2021 ; Dass et al.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination

et al. 2023

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This paper is concerned with the formulation and analysis of an epidemic model of COVID-19 governed by an eight-dimensional system of ordinary differential equations, by taking into account the first dose and the second dose of vaccinated individuals in the population. The developed model is analyzed and the threshold quantity known as the control reproduction number is obtained. We investigate the equilibrium stability of the system, and the COVID-free equilibrium is said to be locally asymptotically stable when the control reproduction number is less than unity, and unstable otherwise. Using the least-squares method, the model is calibrated based on the cumulative number of COVID-19 reported cases and available information about the mass vaccine administration in Malaysia between the 24th of February 2021 and February 2022. Following the model fitting and estimation of the parameter values, a global sensitivity analysis was performed by using the Partial Rank Correlation Coefficient (PRCC) to determine the most influential parameters on the threshold quantities. The result shows that the effective transmission rate , the rate of first vaccine dose , the second dose vaccination rate and the recovery rate due to the second dose of vaccination are the most influential of all the model parameters. We further investigate the impact of these parameters by performing a numerical simulation on the developed COVID-19 model. The result of the study shows that adhering to the preventive measures has a huge impact on reducing the spread of the disease in the population. Particularly, an increase in both the first and second dose vaccination rates reduces the number of infected individuals, thus reducing the disease burden in the population.

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The impact of COVID-19 on a Malaria dominated region: A mathematical analysis and simulations

Cited by 9 publications

References 74 publications

A mathematical model for the co-dynamics of COVID-19 and tuberculosis

A mathematical model for the co-dynamics of COVID-19 and tuberculosis

Mathematical Modelling and Analysis of Stochastic Malaria and COVID-19 Co-infection Model

Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination

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