Evaluation of the Efficacy of Wolbachia Intervention on Dengue Burden in a Population: A Mathematical Insight

Abidemi, Afeez; Fatoyinbo, Hammed Olawale; Asamoah, Joshua Kiddy K.; Muni, Sishu Shankar

doi:10.1109/dasa54658.2022.9765106

Cited by 3 publications

(1 citation statement)

References 16 publications

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“…Gubler et.al [8] was first to report the case of concurrent human infection with two dengue viruses. The nonlinear mathematical model to describe the transmission dynamic and control of dengue disease was discussed by [9] within the context of the interplay between human and mosquitoS population. They obtained the dengue-free equilibrium for the model and showed the globally asymptotically stability.…”

Section: Introductionmentioning

confidence: 99%

Modelling the super-infection of two strains of dengue virus

2023

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Dengue is one of the vector borne diseases that threatened human race. It is imperative to understand the transmission dynamics of dengue, so that proficient and useful control can be developed. In this paper, we formulated dynamic transmission of two strains super-infection dengue. We used next generation matrix to obtain the basic reproduction numbers $${\mathcal {R}}_1$$ R 1 , $${\mathcal {R}}_2$$ R 2 , $${\mathcal {R}}_{12}$$ R 12 . The obtained basic reproduction numbers are then used to test for stabilities whenever $${\mathcal {R}}_1<1$$ R 1 < 1 , $${\mathcal {R}}_2<1$$ R 2 < 1 , $${\mathcal {R}}_{12}<1$$ R 12 < 1 , disease free-equilibrium is globally asymptotically stable or otherwise unstable. We also carried out numerical simulation with the aid of python software. Our results reveal that decreasing the value of tansmission probability $$\alpha ,$$ α , slows down the spread of the disease.

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Section: Introductionmentioning

confidence: 99%

Modelling the super-infection of two strains of dengue virus

2023

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Host-vector dynamics of dengue with asymptomatic, isolation and vigilant compartments: insights from modelling

Abidemi

Peter

2023

Eur. Phys. J. Plus

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Dynamics of a dengue disease transmission model with two-stage structure in the human population

Li-Martín

Reyes-Carreto

Vargas‐De‐León

2022

MBE

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<abstract><p>Age as a risk factor is common in vector-borne infectious diseases. This is partly because children depend on adults to take preventative measures, and adults are less susceptible to mosquito bites because they generally spend less time outdoors than children. We propose a dengue disease model that considers the human population as divided into two subpopulations: children and adults. This is in order to take into consideration that children are more likely than adults to be bitten by mosquitoes. We calculated the basic reproductive number of dengue, using the next-generation operator method. We determined the local and global stability of the disease-free equilibrium. We obtained sufficient conditions for the global asymptotic stability of the endemic equilibrium using the Lyapunov functional method. When the infected periods in children and adults are the same, we that the endemic equilibrium is globally asymptotically stable in the interior of the feasible region when the threshold quantity $ R_0 > 1 $. Additionally, we performed a numerical simulation using parameter values obtained from the literature. Finally, a local sensitivity analysis was performed to identify the parameters that have the greatest influence on changes in $ (R_0) $, and thereby obtain a better biological interpretation of the results.</p></abstract>

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Evaluation of the Efficacy of Wolbachia Intervention on Dengue Burden in a Population: A Mathematical Insight

Cited by 3 publications

References 16 publications

Modelling the super-infection of two strains of dengue virus

Modelling the super-infection of two strains of dengue virus

Host-vector dynamics of dengue with asymptomatic, isolation and vigilant compartments: insights from modelling

Dynamics of a dengue disease transmission model with two-stage structure in the human population

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