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We formulated a mathematical model for the transmission and control of zika virus fever dynamics, incorporating controls; and mosquito bite, sexual contact, vertical transmission blood transfusion as medium of transmissions. Based on our previous findings that the model is mathematically well posed for analysis, the state variables at the endemic state are expressed in terms of parameters and forces of infection, substitution and simplifying led to a polynomial. Invoking Descartes sign rule ofdoi:10.4314/jasem.v22i10.15 fatcat:w7dbgg6xxjgtbik2y6spsgx5sa