Application of optimal control to the onchocerciasis transmission model with treatment

EO Omondi, TO Orwa, F Nyabadza - Mathematical biosciences, 2018 - Elsevier
In this paper, we present a model for onchocerciasis that considers mass administration of
ivermectin, contact prevention controls and vector elimination. The model equilibria are …

Modeling fractional order dynamics of syphilis via Mittag-Leffler law

E Bonyah, CW Chukwu, ML Juga, Fatmawati - medRxiv, 2021 - medrxiv.org
Syphilis is one the most dangerous sexually transmitted disease which is common in the
world. In this work, a mathematical model is formulated with an emphasis on treatment. The …

Fractional-order modelling and optimal control of cholera transmission

S Rosa, DFM Torres - Fractal and Fractional, 2021 - mdpi.com
A Caputo-type fractional-order mathematical model for “metapopulation cholera
transmission” was recently proposed in [Chaos Solitons Fractals 117 (2018), 37–49]. A …

Mathematical analysis of a cholera infection model with vaccination strategy

X Tian, R Xu, J Lin - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, a cholera infection model with vaccination strategy is investigated. By
analyzing corresponding characteristic equations, the local stability of each of feasible …

[HTML][HTML] A fractional order dengue fever model in the context of protected travelers

E Bonyah, ML Juga, CW Chukwu - Alexandria Engineering Journal, 2022 - Elsevier
Climate changes are affecting the control of many vector-borne diseases, particularly in
Africa. In this work, a dengue fever model with protected travelers is formulated. Caputo …

Bifurcation and stability analysis of a cholera model with vaccination and saturated treatment

S Sharma, F Singh - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, we proposed a new deterministic cholera model with two control measures
namely; vaccination and treatment. It is assumed that vaccination is perfect and hence …

[HTML][HTML] An Ebola virus disease model with fear and environmental transmission dynamics

ML Juga, F Nyabadza, F Chirove - Infectious Disease Modelling, 2021 - Elsevier
Highlights•Due to its high case fatality rate, EVD undoubtedly instills fear in the inhabitants of
any affected community.•We propose an Ebola model with fear, which considers the …

A game-theoretic model of cholera with optimal personal protection strategies

J Kobe, N Pritchard, Z Short, IV Erovenko… - Bulletin of Mathematical …, 2018 - Springer
Cholera is an acute gastro-intestinal infection that affects millions of people throughout the
world each year, primarily but not exclusively in developing countries. Because of its public …

Stability and backward bifurcation on a cholera epidemic model with saturated recovery rate

X Zhou, X Shi, J Cui - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
In this paper, a cholera epidemic model with saturated recovery rate is studied. Backward
bifurcation leading to bistability possibly occurs, and global dynamics are shown by …

A metapopulation model for cholera transmission dynamics between communities linked by migration

JBH Njagarah, F Nyabadza - Applied Mathematics and Computation, 2014 - Elsevier
A metapopulation model is developed to describe the spread of cholera between two
communities connected by migratory movement. Disease threshold ratios specific to the …