Article: Temperature and rainfall dependent mathematical modelling for progression of Zika virus infection Journal: International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO) 2019 Vol.9 No.4 pp.339 - 365 Abstract: We formulated a susceptible-exposed-infected-recovered (SEIR) mathematical model for transmission of ZIKV. The model was used to estimate different parameters using the outbreak data obtained from Puerto Rico during 2015-2016 in this region. The inclusion of climatic factors in the model assisted in more realistic predictions of the transmission dynamics of ZIKV. The value basic reproduction number R0= 3.2869 calculated at estimated parameters suggested outbreak of infection in this region. The sensitivity analysis revealed that R0 was highly influenced by death rate, mosquito biting rate and maturation rate of immature mosquitoes. The R0 further implied that around 70% of the individuals should be immunised to develop herd immunity to prevent propagation of the disease. The simulation of controlled reproduction number revealed the values of different isolation coefficients (ε1 > 0.4, ε2 > 0.14, τ1 < 0.1). These coefficients might be utilised by policy makers in the control strategies against the infection. Inderscience Publishers - linking academia, business and industry through research

Title: Temperature and rainfall dependent mathematical modelling for progression of Zika virus infection

Authors: Narender Kumar; Md Imam Faizan; Shama Parveen; Ravins Dohare

Addresses: Centre for Interdisciplinary Research in Basic Sciences, Jamia Millia Islamia, New Delhi, India; Department of Mathematics, Gargi College, Univserity of Delhi, New Delhi, India ' Multidisciplinary Centre for Advance Research and Studies, Jamia Millia Islamia, New Delhi, India ' Centre for Interdisciplinary Research in Basic Sciences, Jamia Millia Islamia, New Delhi, India ' Centre for Interdisciplinary Research in Basic Sciences, Jamia Millia Islamia, New Delhi, India

Abstract: We formulated a susceptible-exposed-infected-recovered (SEIR) mathematical model for transmission of ZIKV. The model was used to estimate different parameters using the outbreak data obtained from Puerto Rico during 2015-2016 in this region. The inclusion of climatic factors in the model assisted in more realistic predictions of the transmission dynamics of ZIKV. The value basic reproduction number R₀= 3.2869 calculated at estimated parameters suggested outbreak of infection in this region. The sensitivity analysis revealed that R₀ was highly influenced by death rate, mosquito biting rate and maturation rate of immature mosquitoes. The R₀ further implied that around 70% of the individuals should be immunised to develop herd immunity to prevent propagation of the disease. The simulation of controlled reproduction number revealed the values of different isolation coefficients (ε₁ > 0.4, ε₂ > 0.14, τ₁ < 0.1). These coefficients might be utilised by policy makers in the control strategies against the infection.

Keywords: Zika virus infection; basic reproduction number; disease free equilibrium; DFE; simulation.

DOI: 10.1504/IJMMNO.2019.102571

International Journal of Mathematical Modelling and Numerical Optimisation, 2019 Vol.9 No.4, pp.339 - 365

Received: 11 May 2018
Accepted: 29 Sep 2018
Published online: 30 Sep 2019 *

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Title: Temperature and rainfall dependent mathematical modelling for progression of Zika virus infection

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