A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters

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dc.contributor.author Helikumi, Mlyashimbi
dc.contributor.author Kgosimore, Moatlhodi
dc.contributor.author Kuznetsov, Dmitry
dc.contributor.author Mushayabasa, Steady
dc.date.accessioned 2020-06-29T07:37:40Z
dc.date.available 2020-06-29T07:37:40Z
dc.date.issued 2020-06-11
dc.identifier.uri https://doi.org/10.1186/s13662-020-02745-3
dc.identifier.uri https://dspace.nm-aist.ac.tz/handle/123456789/805
dc.description This research article published by Springer Nature, 2020 en_US
dc.description.abstract 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 and reproductive rate, increase from low values (even zero) at critical minimum temperature, peak at an optimum temperature and then decline to low levels (even zero) at a critical maximum temperature. In this study, a fractional-order Trypanosoma brucei rhodesiense model incorporating vector saturation and temperature dependent parameters is considered. The proposed model incorporates the interplay between vectors and two hosts, humans and animals. We computed the basic reproduction number and established results on the threshold dynamics. Meanwhile, we explored the effects of vector control and screening of infected host on long-term disease dynamics. We determine threshold levels essential to reducing the basic reproduction number to level below unity at various temperature levels. Our findings indicate that vector control and host screening could significantly control spread of the disease at different temperature levels. en_US
dc.language.iso en en_US
dc.publisher Springer Nature en_US
dc.subject Trypanosoma brucei rhodesiense en_US
dc.subject Mathematical model en_US
dc.subject Caputo fractional derivative en_US
dc.subject Vector saturation en_US
dc.title A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters en_US
dc.type Article en_US

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