Simulating the Effect of Disease Transmission Coefficient on A Disease Induced Death Seirs Epidemic Model Using the Homotopy Perturbation Method

Kolawole, Mutairu Kayode; Alaje, Adedapo Ismaila; OGUNNIRAN, Muideen; TIJANI, R.

doi:10.4316/jacsm.202201006

Cited by 3 publications

(2 citation statements)

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“…Their research proved that the technique applied is an efficient one and the disease-free equilibrium is a vital parameter to be considered during disease eradication. Similarly, the effect of the disease transmission coefficient on a disease-induced death SEIR epidemic model was conducted using the homotopy perturbation method in [4]. Their result showed that the homotopy perturbation method is an effective and productive method that distances itself, employ challenging computational work than other numeral methods.…”

Section: Introductionmentioning

confidence: 99%

On the Effects of Saturation Terms on A SEIR Epidemic Model with Infected and Susceptible Compartments

et al. 2023

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The importance of the saturation term in an SEIR (Susceptible, Exposed, Infected, and Recovered) epidemic model was examined in this article. To estimate the basic reproduction number (R0), examine the stabilities and run numerical simulations on the model, the next generation matrix, the Lyapunov function and Runge-Kutta techniques were used. The numerical simulation results reveal that, the saturation term has a significant influence in the model’s susceptible and infected compartments. However, as demonstrated by the simulation results, saturation term has a greater influence on vulnerable people than on infected people. As a result, greater sensitization programs through seminars, media, and awareness will be more beneficial to the vulnerable class than the afflicted class during disease eradication.

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Section: Introductionmentioning

confidence: 99%

On the Effects of Saturation Terms on A SEIR Epidemic Model with Infected and Susceptible Compartments

et al. 2023

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“…Their findings demonstrate how effective the method is at resolving coupled nonlinear differential equations. This same method has also been applied by [18], where the effect of the disease transmission coefficient on a disease-induced death seizure epidemic model was simulated.…”

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confidence: 99%

Conceptual analysis of the combined effects of vaccination, therapeutic actions, and human subjection to physical constraint in reducing the prevalence of COVID-19 using the homotopy perturbation method

Kolawole

Olayiwola

Alaje

et al. 2023

Beni-Suef Univ J Basic Appl Sci

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Background The COVID-19 pandemic has put the world's survival in jeopardy. Although the virus has been contained in certain parts of the world after causing so much grief, the risk of it emerging in the future should not be overlooked because its existence cannot be shown to be completely eradicated. Results This study investigates the impact of vaccination, therapeutic actions, and compliance rate of individuals to physical limitations in a newly developed SEIQR mathematical model of COVID-19. A qualitative investigation was conducted on the mathematical model, which included validating its positivity, existence, uniqueness, and boundedness. The disease-free and endemic equilibria were found, and the basic reproduction number was derived and utilized to examine the mathematical model's local and global stability. The mathematical model's sensitivity index was calculated equally, and the homotopy perturbation method was utilized to derive the estimated result of each compartment of the model. Numerical simulation carried out using Maple 18 software reveals that the COVID-19 virus's prevalence might be lowered if the actions proposed in this study are applied. Conclusion It is the collective responsibility of all individuals to fight for the survival of the human race against COVID-19. We urged that all persons, including the government, researchers, and health-care personnel, use the findings of this research to remove the presence of the dangerous COVID-19 virus.

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Homotopy Perturbation Method for Pneumonia–HIV Co-Infection

Shah

Sheoran

2022

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It is well known that HIV (human immunodeficiency virus) weakens the immune system of individuals, resulting in risk of other infections, such as pneumonia. The most frequent viral pneumonia seen in individuals infected with HIV is cytomegalovirus (CMV). In this paper, pneumonia–HIV co-infection is modeled through the formulation of a mathematical compartmental model consisting of nine compartments. Some of the basic properties of the model are established, such as the positivity, boundedness of the system, equilibrium points, and computation of the basic reproduction number. After obtaining the solution, the homotopy perturbation method (HPM) is applied, as it is known for its convergence properties. It is observed that the HPM gives an accurate analytical solution that indicates various important factors that are responsible for the spread of cytomegalovirus pneumonia in HIV-infected populations, and this is justified through a plot made by using MATLAB 2020a.

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Simulating the Effect of Disease Transmission Coefficient on A Disease Induced Death Seirs Epidemic Model Using the Homotopy Perturbation Method

Cited by 3 publications

References 0 publications

On the Effects of Saturation Terms on A SEIR Epidemic Model with Infected and Susceptible Compartments

On the Effects of Saturation Terms on A SEIR Epidemic Model with Infected and Susceptible Compartments

Conceptual analysis of the combined effects of vaccination, therapeutic actions, and human subjection to physical constraint in reducing the prevalence of COVID-19 using the homotopy perturbation method

Homotopy Perturbation Method for Pneumonia–HIV Co-Infection

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