A Mathematical Model to Study the Effects of Breastfeeding and Vaccination on Rotavirus Epidemics

Shuaib, Sherif Eneye; Riyapan, Pakwan

doi:10.5614/j.math.fund.sci.2020.52.1.4

Cited by 7 publications

(9 citation statements)

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“…All these values are taken from references [16,44]. The solution has been estimated by taking the infinite series solution to a finite term (n = 5).…”

Section: Outcomes and Discussionmentioning

confidence: 99%

“…However, Wobudeya et al [15] have demonstrated that breastfeeding cannot guard against gastroenteritis rotavirus. Shuaib and Riyapan [16] have developed a model to further research and investigate the impact of breastfeeding on rotavirus prevention, which is given as…”

Section: Outlinementioning

confidence: 99%

“…One can follow Shuaib and Riyapan [16] and Ahmad et al [44] for the stability analysis, equilibrium points, and reproduction number of the titled model.…”

mentioning

confidence: 99%

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Dynamical behavior of rotavirus epidemic model with non‐probabilistic uncertainty under Caputo–Fabrizio derivative

Jena

Nisar

2023

Math Methods in App Sciences

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Rotavirus infection is also a major cause of death in babies and children.Rotavirus causes severe diarrhea in babies and infants in developed and underdeveloped countries. It has multiple types of transmission: human to human and human to the environment. This paper investigates the time-fractional order rotavirus epidemic model in an uncertain environment defined in the Caputo-Fabrizio (CF) derivative sense. In the titled model, the initial conditions are considered as fuzzy numbers. A double parametric form (DPF) of fuzzy numbers has been used in the fuzzy fractional rotavirus model. A semianalytical approach called the homotopy perturbation Elzaki transform method (HPETM) has been employed to solve the present model with the fuzzy initial condition. In order to derive the existence and uniqueness of the solution of the model, the concept of fixed-point theory is utilized. Various fuzzy and interval solutions have been computed by considering different values of fractional orders, fuzzy parameters, and parameters involved in the given model.

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“…All these values are taken from references [16,44]. The solution has been estimated by taking the infinite series solution to a finite term (n = 5).…”

Section: Outcomes and Discussionmentioning

confidence: 99%

Section: Outlinementioning

confidence: 99%

See 1 more Smart Citation

Dynamical behavior of rotavirus epidemic model with non‐probabilistic uncertainty under Caputo–Fabrizio derivative

Jena

Nisar

2023

Math Methods in App Sciences

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“…1. [11] The fixed ratios of the model are presented as follows: (1 − σ − η): represent the inclusion rate into the susceptible compartment, σΛ : represent the inclusion rate into breastfeeding compartment, ηΛ: represent the inclusion rate into the vaccinated box, Ψ: represent the breastfeeding rate of the vaccinated box, γ: represent the vaccination rate of the susceptible compartment, Φ: represent the vaccination rate of breastfeeding compartment, β: represent the nominal contact rate, : illustrate the waning rate of maternal antibodies from breast milk, ω: represent the waning rate of vaccine, : represent the reduction in the risk of infection due to maternal antibodies, ξ: represent the reduction in the risk of infection due to vaccination, τ: represent the disease mortality rate, μ: represent the natural death rate and k: represent the recovery rate. The governing equations of the model are as follows:…”

Section: Model Formulationmentioning

confidence: 99%

“…In 2013, Arnold et al presented a theory of rotavirus-like infections [10]. In 2020, Shuaib et al developed a mathematical analysis to study the effect of rotavirus on childhood mortality and diarrheal disease [11]. Guzel et al presented a met-analysis in 2020 regarding awareness programs and preventive policies of rotavirus infection in younger children in Turkey [12].…”

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confidence: 99%

Mathematical Modelling of Rotavirus Disease Through Efficient Methods

Raza¹

2022

Computers, Materials &Amp; Continua

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The design of evolutionary approaches has a vital role in the recent development of scientific literature. To tackle highly nonlinear complex problems, nonlinear ordinary differential equations, partial differential equations, stochastic differential equations, and many more may called computational algorithms. The rotavirus causes may include severe diarrhea, vomiting, and fever leading to rapid dehydration. By the report of the World Health Organization (WHO), approximately 600,000 children die worldwide each year, 80 percent of whom live in developing countries. Two million children are hospitalized each year. In Asia, up to 45 percent of the children hospitalized for diarrhea may be infected with rotavirus. The rotavirus model is categorized into five-compartment like susceptible (S), breastfeeding (M), vaccinated (V), infected (I), and recovered children (R). Positivity, boundedness, equilibria, reproduction number, and stability results are part of the qualitative analysis of the model. After that, the design of the evolutionary approaches on the model predicts the efficiency, visualization, long-term behavior of the disease, and best results of the rotavirus disease. In the end, evolutionary computations are an appropriate tool for double-checking the qualitative examination of the model.

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