Application of optimal control to the onchocerciasis transmission model with treatment
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 …
ivermectin, contact prevention controls and vector elimination. The model equilibria are …
Modeling fractional order dynamics of syphilis via Mittag-Leffler law
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 …
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 …
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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
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 …
communities connected by migratory movement. Disease threshold ratios specific to the …