Mathematics and Computational Sciences

Investigating the effects of some controls measures on the dynamics of diphtheria infection using fractional order model

Document Type : Original Article

Authors

Adedapo Chris Loyinmi 1
Alani Lateef Ijaola 2

1 Department of Mathematics, College of Science and Information Technology, Tai Solarin University of Education, Ogun State. NIgeria

2 Department of Mathematics college of physical science, federal university of agriculture Abeokuta, Ogun State Nigeria

https://doi.org/10.30511/mcs.2024.2032110.1183
Abstract
In this study, we presented a computationally intensive alternative and a suitable time-fractional order model to further comprehend the transmission dynamics of Diphtheria and study the overall effects of some control measures on its transmission. Public awareness (U1), immediate treatment after being diagnosed (U2) and the combination of both controls (U3) are the three measures considered and all parameters and conditions that guarantee feasible of the proposed SEIR model: uniqueness and existence of solutions, the reproduction number, boundedness and positivity of solutions, global and local stability analysis of the disease-free equilibrium state was thoroughly analyzed and established, the Adam’s Bashforth predictor-corrector method was utilized for the numerical solution, More interestingly, analysis of the optimal control from simulations emphasized gradual elimination of the infection in the population and finally flattens the transmission curve and so health practitioner and concerned authorities are better educated about possible control measures and the overall combine effects of such measures

Keywords

Fractional Order
Diphtheria
Control Strategies
Fractional derivative
Positivity
Adam’s Bahforth

Subjects

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Mathematics and Computational Sciences
Volume 5, Issue 4
Autumn 2024
Pages 26-47

  • Receive Date 12 June 2024
  • Revise Date 12 October 2024
  • Accept Date 12 October 2024

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