The impact of COVID-19 on a Malaria dominated region: A
mathematical analysis and simulations.
ALEXANDRIA ENGINEERING JOURNAL 2022;
65:23-39. [PMCID:
PMC9683084 DOI:
10.1016/j.aej.2022.09.045]
[Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2022] [Revised: 09/15/2022] [Accepted: 09/27/2022] [Indexed: 05/29/2023]
Abstract
One of society’s major concerns that
have continued for a long time is infectious diseases. It has been
demonstrated that certain disease infections, in particular multiple
disease infections, make it more challenging to identify and treat
infected individuals, thus deteriorating human health. As a result, a
COVID-19-malaria co-infection model is developed and analyzed to study
the effects of threshold quantities and co-infection transmission rate on
the two diseases’ synergistic relationship. This allowed us to better
understand the co-dynamics of the two diseases in the population. The
existence and stability of the disease-free equilibrium of each single
infection were first investigated by using their respective reproduction
number. The COVID-19 and malaria-free equilibrium are locally
asymptotically stable when the individual threshold quantities RC and RM are below unity. Additionally, the occurrence of the malaria
prevalent equilibrium is examined, and the requirements for the backward
bifurcation’s existence are provided. Sensitivity analysis reveals that
the two main parameters that influence the spread of COVID-19 infection
are the disease transmission rate (βc) and the fraction of the exposed individuals becoming
symptomatic (ψ), while malaria transmission is influenced by the abundance of
vector population, which is driven by recruitment rate (πv) with an increase in the effective biting rate (b), probability of malaria transmission per mosquito bite
(βm), and probability of malaria transmission from infected humans
to vectors (βv). The findings from the numerical simulation of the model show
that COVID-19 will predominate in the populace and drives malaria to
extinction when RM<1<RC, whereas malaria will dominate in the population and drives
COVID-19 into extinction when RC<1<RM. At the disease’s endemic equilibrium, the two diseases will
coexist with the one with the highest reproduction number predominating
but not eradicating the other. It was demonstrated in particular that
COVID-19 will invade a population where malaria is endemic if the
invasion reproduction number exceeds unity. The findings also demonstrate
that when the two diseases are at endemic equilibrium, the prevalence of
co-infection increases COVID-19’s burden on the population while
decreasing malaria incidence.
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