A Mathematical Model of Measles with Vaccination and Two Phases of Infectiousness

Ochoche, J M; Gweryina, Reuben Iortyer

doi:10.9790/5728-101495105

Cited by 28 publications

(3 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Table 6 summarises the ICER and ACER for each and the combination of the control variables u 1 (t), u 2 (t) and u 3 (t) in increasing order of the total infection averted. The ICER and ACER results for P 1 , P 2 , P 3 and P 123 are calculated using (16) and shown in Table 6 follows.…”

Section: Plos Onementioning

confidence: 99%

“…Some renowned researchers have already done a few important studies on measles transmission dynamics deterministically using various essential compartments in recent decades. In Ochoche and Gweryina [ 16 ], a SIR deterministic compartmental model of measles was studied, highlighting the impact of vaccination. The authors realized that it is possible to eliminate measles through vaccination, and they advised that at least two doses of vaccine should be mandatory for all children.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of the different interventions scenario for programmatic measles control in Bangladesh: A modelling study

et al. 2023

View full text Add to dashboard Cite

In recent years measles has been one of the most critical public health problem in Bangladesh. Although the Ministry of Health in Bangladesh employs a broad extension of measles control policies, logistical challenges exist, and there is significant doubt regarding the disease burden. Mathematical modelling of measles is considered one of the most effective ways to understand infection transmission and estimate parameters in different countries, such as Bangladesh. In this study, a mathematical modelling framework is presented to explore the dynamics of measles in Bangladesh. We calibrated the model using cumulative measles incidence data from 2000 to 2019. Also, we performed a sensitivity analysis of the model parameters and found that the contact rate had the most significant influence on the basic reproduction number R0. Four hypothetical intervention scenarios were developed and simulated for the period from 2020 to 2035. The results show that the scenario which combines enhanced treatment for exposed and infected population, first and second doses of vaccine is the most effective at rapidly reducing the total number of measles incidence and mortality in Bangladesh. Our findings also suggest that strategies that focus on a single interventions do not dramatically affect the decline in measles incidence cases; instead, those that combine two or more interventions simultaneously are the most effective in decreasing the burden of measles incidence and mortality. In addition, we also evaluated the cost-effectiveness of varying combinations of three basic control strategies including distancing, vaccination and treatment, all within the optimal control framework. Our finding suggested that combines distancing, vaccination and treatment control strategy is the most cost-effective for reducing the burden of measles in Bangladesh. Other strategies can be comprised to measles depending on the availability of funds and policymakers’ choices.

show abstract

Section: Plos Onementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of the different interventions scenario for programmatic measles control in Bangladesh: A modelling study

et al. 2023

View full text Add to dashboard Cite

show abstract

“…Measles reinfection are very rare. Measles is an air borne disease so the ratio of 90 percent peoples who haven't got the immunity against measles cause to spread this disease from one person to another person if they live together at the same house (Ochoche and Gweryina, 2014). Complications of measles are fairly common but the patients have weak immune system are more likely to be worse such as those with HIV/AIDS or leukemia and those with vitamin deficiency.…”

Section: Introductionmentioning

confidence: 99%

Nonstandard finite difference scheme for control of measles epidemiology

Ashraf¹,

Ahmad²

2019

Int. j. adv. appl. sci.

View full text Add to dashboard Cite

This paper is based on the analysis of SEIR measles models, which are used to study the integrating vaccination as a control strategy and taking the two stages of infectiousness and transmission dynamics of infectious diseases in a population. Measles is a higher contagious that can spread in a community population depending on the number of people susceptible or infected and also depending on their movement in a community. We construct an unconditionally convergent nonstandard finite difference (NSFD) scheme for SEIR measles model. NSFD preserve the positivity of all values of h. This method proved to be a very efficient technique for solving epidemic models. We obtained disease-free equilibrium (DFE) point, Endemic equilibrium (EE), reproduction number for the model. Moreover, the analysis of the epidemic models using nonstandard finite difference scheme reveals that the method provides a rapidly convergent series solution by little iteration and avoids the massive computational work. Numerical simulations show that the rate of infection is decreased with the passage of time and disease will die out in the community. The results are compared to the Differential Transformation Method to show this scheme is efficient and better accuracy for epidemic models.

show abstract

Compartmental Modelling Approach for Accessing the Role of Non-Pharmaceutical Measures in the Spread of COVID-19

Bahri

Bhatia

Chauhan

et al. 2021

Mathematical Analysis for Transmission of COVID-19

View full text Add to dashboard Cite

A Mathematical Model of Measles with Vaccination and Two Phases of Infectiousness

Cited by 28 publications

References 14 publications

Analysis of the different interventions scenario for programmatic measles control in Bangladesh: A modelling study

Analysis of the different interventions scenario for programmatic measles control in Bangladesh: A modelling study

Nonstandard finite difference scheme for control of measles epidemiology

Compartmental Modelling Approach for Accessing the Role of Non-Pharmaceutical Measures in the Spread of COVID-19

Contact Info

Product

Resources

About