Bifurcation, sensitivity and optimal control analysis of modelling Anthrax-Listeriosis co-dynamics

Osman, Shaibu; Otoo, Dominic; Sebil, Charles; Makinde, Oluwole Daniel

doi:10.28919/cmbn/5161

Cited by 6 publications

(2 citation statements)

References 20 publications

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“…In a state of DFE, I h = I P = G = 0. The steady-state solution occurs when there is no infection in the population [38]. Solving system (1) by equating the system's right side to zero yields…”

Section: Data Availability Statementmentioning

confidence: 99%

Modeling the Transmission Routes of Hepatitis E Virus as a Zoonotic Disease Using Fractional-Order Derivative

Osman,

Lassong,

Dasumani

et al. 2024

Journal of Applied Mathematics

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Hepatitis E virus (HEV) is one of the emerging zoonotic diseases in Sub-Saharan Africa. Domestic pigs are considered to be the main reservoir for this infectious disease. A third of the world’s population is thought to have been exposed to the virus. The zoonotic transmission of the HEV raises serious zoonotic and food safety concerns for the general public. This is a major public health issue in both developed and developing countries. The World Health Organization (WHO) estimated that 44,000 people died in 2015 as a result of HEV infection. East and South Asia have the highest prevalence of this disease overall. In this study, we proposed, developed, and analyzed the transmission routes of the infection using a fractional-order derivative approach. The existence, stability, and uniqueness of solutions were established using the approach and concept in Banach space. Local and global stability was determined using the Hyers–Ulam (HU) stability approach. Numerical simulation was conducted using existing parameter values, and it was established that, as the susceptible human population declines, the number of infected human populations rises with a change in fractional order θ^. When the susceptible pig population increases, the number of infected pig populations rises with a change in θ^. It was observed that a few variations in the fractional derivative order did not alter the function’s overall behavior with the results of numerical simulations. Moreover, as the number of recovered human populations increases, there is a corresponding increase in the population of recovered pigs with a change in θ^. The exponential increase in the infected pig population can be controlled by treatment of the infected pigs and prevention of the susceptible pigs. The authors recommend policymakers, and stakeholders prioritize the fight against the virus by enforcing the prevention of humans and treatment of infected pigs. The model can be extended to optimal control and cost-effectiveness analysis to determine the most effective control strategy that comes with less cost in the combat of the disease.

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Section: Data Availability Statementmentioning

confidence: 99%

Modeling the Transmission Routes of Hepatitis E Virus as a Zoonotic Disease Using Fractional-Order Derivative

Osman,

Lassong,

Dasumani

et al. 2024

Journal of Applied Mathematics

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“…Using vaccination as a control, Kimathi and Wainaina [26] looked at the dynamics of anthrax spread in animal populations. The co-dynamics of anthrax and listeriosis infections were investigated, and the qualitative and quantitative link between them within preventative and treatment strategies was researched by Osman et al [27]. According to their research, anthrax infection may raise the chance of Listeriosis, but listeriosis disease itself is not linked to an increased risk of anthrax.…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Model of Dynamical Behavior and Qualitative Analysis of Anthrax with infected Vector and Saturation

Loyinmi,

Lateef

2024

Preprint

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Dynamics of Tuberculosis (TB) with Drug Resistance to First-Line Treatment and Leaky Vaccination: A Deterministic Modelling Perspective

Otoo

Osman

Poku

et al. 2021

Computational and Mathematical Methods in Medicine

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A deterministic model was formulated and employed in the analysis of the dynamics of tuberculosis with a keen emphasis on vaccination and drug resistance as the first line of treatment. It was assumed that some of the susceptible population were vaccinated but with temporal immunity. This is due to the fact that vaccines do not confer permanent immunity. Moreover, part of the infected individual after treatment grows resistance to the drug. Infective immigrants were also considered to be part of the population. The basic reproductive number for the model is estimated using the next-generation matrix method. The equilibrium points of the TB model and their local and global stability were determined. It was established that if the basic reproductive number was less than unity R 0 < 1 , then the disease free equilibrium is stable and unstable if R 0 > 1 . Furthermore, we investigated the optimal prevention, treatment, and vaccination as control measures for the disease. As the objective functional was optimised, there have been a significant reduction in the number of infections and an increase in the number of recovery. The best control measure in combating tuberculosis infections is prevention and vaccination of the susceptible population.

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Bifurcation, sensitivity and optimal control analysis of modelling Anthrax-Listeriosis co-dynamics

Cited by 6 publications

References 20 publications

Modeling the Transmission Routes of Hepatitis E Virus as a Zoonotic Disease Using Fractional-Order Derivative

Modeling the Transmission Routes of Hepatitis E Virus as a Zoonotic Disease Using Fractional-Order Derivative

Fractional Order Model of Dynamical Behavior and Qualitative Analysis of Anthrax with infected Vector and Saturation

Dynamics of Tuberculosis (TB) with Drug Resistance to First-Line Treatment and Leaky Vaccination: A Deterministic Modelling Perspective

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