Mathematical model of COVID-19 with comorbidity and controlling using non-pharmaceutical interventions and vaccination (original) (raw)
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In this study, a nonlinear deterministic mathematical model that evaluates two important therapeutic measures of the COVID-19 pandemic: vaccination of susceptible and treatment for infected people who are in quarantine, is formulated and rigorously analyzed. Some of the fundamental properties of the model system including existence and uniqueness, positivity, and invariant region of solutions are proved under a certain meaningful set. The model exhibits two equilibrium points: disease-free and endemic equilibrium points under certain conditions. The basic reproduction number, R 0 , is derived via the next-generation matrix approach, and the dynamical behavior of the model is explored in detail. The analytical analysis reveals that the disease-free equilibrium solution is locally as well as globally asymptotically stable when the associated basic reproduction number is less than unity which indicates that COVID-19 dies out in the population. Also, the endemic equilibrium point is glo...
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Mathematical Modeling and Optimal Control of Intervention Strategies for Covid-19 Disease
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This research work used mathematical modeling in understanding the dynamics of covid-19 disease. We modified the work of Chen et al. (2020) by incorporating vaccination and pets (spread agents) compartments, making the model a ten (10) compartmental model, and also augmenting four controls to it namely: vaccination, use of face mask and physical distancing, sanitation, and treatment. We developed from the model, a system of non-linear Ordinary Differential Equations from which the positivity of solution was proven. We established the equilibrium states, determined the reproduction number which was utilized to predict the disease's transmission dynamics, hence establishing the conditions for local and global stability of the disease free- equilibrium using Routh- Hurwitz criterion and the Castillo-Chavez technique, respectively. The outcome of the investigation of the stability of the disease-free equilibrium state that covid-19 disease transmission can be significantly degraded ...
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The European Physical Journal Plus, 2022
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Mathematical modeling and optimal intervention of COVID‐19 outbreak
Quantitative Biology, 2021
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