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8th Edition of World Congress on Infectious Diseases

June 09-11, 2025 | Rome, Italy

June 09 -11, 2025 | Rome, Italy
Infection 2025

Modeling zika virus disease dynamics with control strategies

Speaker at Infectious Diseases Conference - Helikumi Mlyashimbi
Mbeya University of Science and Technology, Tanzania, United Republic of
Title : Modeling zika virus disease dynamics with control strategies

Abstract:

In this research work, we formulated a fractional-order model for the transmission dynamics of Zika virus that incorporates three control strategies namely; health education campaign, use of insecticides, and prevention measures. We presented the theoretical analysis of the model. More precisely, we obtained the disease free-equilibrium and basic reproduction number, and analyzed the existence and uniqueness of model solution using fixed point theorem. Meanwhile, we performed model parameter estimation using real data of Zika virus reported in Colombia. We noted that fractional-order model had best t to the real data compared to classical integer model. Sensitivity analysis of the basic reproduction number have been performed using computed partial rank correlation coefficient to determine the effect of each parameter on the Zika virus transmission. Furthermore, we performed numerical simulation of the model to determine the impact of memory effect on the spread of Zika virus transmission. From simulation results we noted that the order of derivatives have significantly impact on the dynamics of Zika virus disease. Additionally, we simulated the model to assess the effect of control strategies. Overall, we observed that the proposed interventions have the potential to reduce the spread of Zika virus in the population.

Biography:

Dr. Helikumi Mlyashimbi is a Lecturer and Acting Director of Center for Virtual and Continuing Education (CVCE) of Mbeya University of Science and Technology (MUST) since May 2022. Prior to his appointment as Acting Director, he served in various managerial positions including Head of Department of Science and Business Management (2013-2017), Examination coordinator (2012-2013), and Time table coordinator (2010-2012) both at Mbeya University of Science and Technology (MUST).

Dr. Helikumi Mlyashimbi joined UDSM to pursue Bachelor of Education in Science (Bed-Science) studies in July 2003 and graduated in November 2007. He was enrolled in a Master of Science in Mathematical modeling in 2008 at University of Dar-es Salaam (UDSM) and graduated in November 2011. In January 2018 he was registered in Doctor of Mathematical and Computer Sciences and Engineering at the Nelson Mandela African Institution of Science and Technology (NM-AIST) and graduated in 2021. His research interest is in Mathematical modeling of human and animal diseases such as Malaria, Trypanosomiasis, Chikungunya, Zika, COVID-19, Ebola, Brucellosis, cholera, and other non-emerging diseases. He has published over 20 papers in peer reviewed journals and he is a member of Mathematic Association Tanzania (MAT).

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