Browsing by Author "Helikumi, Mlyashimbi"
Now showing items 1-6 of 6
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Backward Bifurcation and Optimal Control Analysis of a Trypanosoma brucei rhodesiense Model
Helikumi, Mlyashimbi; Kgosimore, Moatlhodi; Kuznetsov, Dmitry; Mushayabasa, Steady (MDPI, 2019-10-14)In this paper, a mathematical model for the transmission dynamics of Trypanosoma brucei rhodesiense that incorporates three species—namely, human, animal and vector—is formulated and analyzed. Two controls representing ... -
Dynamic modelling and optimal control analysis of a fractional order chikungunya disease model with temperature effects
Lusekelo, Eva; Helikumi, Mlyashimbi; Kuznetsov, Dmitry; Mushayabasa, Steady (Elsevier, 2023-01-19)Approximately 1.3 billion inhabitants in 94 countries are estimated to be at risk of chikungunya virus infection. A mechanistic compartmental model based on fractional calculus, the Caputo derivative has been proposed ... -
Dynamical and optimal control analysis of a seasonal Trypanosoma brucei rhodesiense model
Helikumi, Mlyashimbi; Kgosimore, Moatlhodi; Kuznetsov, Dmitry; Mushayabasa, Steady (AIMS Press, 2020-02-27)The e ects of seasonal variations on the epidemiology of Trypanosoma brucei rhodesiense disease is well documented. In particular, seasonal variations alter vector development rates and behaviour, thereby influencing the ... -
A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters
Helikumi, Mlyashimbi; Kgosimore, Moatlhodi; Kuznetsov, Dmitry; Mushayabasa, Steady (Springer Nature, 2020-06-11)Temperature is one of the integral environmental drivers that strongly affect the distribution and density of tsetse fly population. Precisely, ectotherm performance measures, such as development rate, survival probability ... -
Modeling the effects of temperature and heterogeneous biting exposure on chikungunya virus disease dynamics
Lusekelo, Eva; Helikumi, Mlyashimbi; Kuznetsov, Dmitry; Mushayabasa, Steady (Elsevier, 2022-07-06)Within the last decades, chikungunya virus (CHIKV), a mosquito-borne arboviral disease transmitted by Aedes species mosquitoes has been a growing public health burden. Approximately 1.3 billion inhabitants in 94 countries ... -
Quantifying the effects of temperature and predation on the growth of Aedes mosquito population
Lusekelo, Eva; Helikumi, Mlyashimbi; Kuznetsov, Dmitry; Mushayabasa, Steady (Springer Nature, 2023-01-10)Despite having been tested in multiple settings, the quantitative impact of predatory aquatic insects to reduce mosquito population remains unclear. To address this question, an ecological model of Aedes mosquito population ...