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Research Paper | Mathematics | Ghana | Volume 10 Issue 7, July 2021

Modelling the Dynamics and Transmission of Dengue Fever by the Vector, Mosquito Aedes aegypti in Tropical Africa Region

Christiana C. Nyarko ^[3] | Peter K. Nyarko ^[3] | Albert Buabeng | Monica V. Crankson

Abstract: Dengue Fever (DF)is notably one of the world?s common vector-borne viral disease. The current increase in the geographic distribution of its primary vector, mosquito Aedes aegypti, has led to a 30-fold increase in cases over the last 50 years in tropical regions of Asia, Africa, Central and South America.This paper presentsan SEITR-SI model, (Susceptible, Exposed, Infected, Treatment, and Recovered) host-vector, Aedes aegypti mosquitoto determine the dynamics of dengue feverespecially in tropical regions of Africawhere malaria is highly prevalent due to illegal mining activities and urbanization. We classified the human population into five epidemiological states and the mosquito population into two compartmental epidemiological states. The disease-free equilibrium point and its stability states were established and simulated. The model?s threshold parameter was further estimated using the Next Generation and Jacobian matrix. Numerical simulations of the model revealsthat the emergence of new cases of DFin some Africa regions and Ghana call for proper diagnosis of malaria using adequate diagnostic tools and treatment to avoid transmission as a result of misdiagnosis of febrile illnesses as malaria.

Keywords: Dengue Fever, vector, viral disease, mosquito, Aedes aegypti

Edition: Volume 10 Issue 7, July 2021,

Pages: 1349 - 1358

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