TY - JOUR
T1 - A Fractional-Order Model for Zika Virus Infection with Multiple Delays
AU - Rakkiyappan, R.
AU - Latha, V. Preethi
AU - Rihan, Fathalla A.
N1 - Publisher Copyright:
© 2019 R. Rakkiyappan et al.
PY - 2019
Y1 - 2019
N2 - Time delays and fractional order play a vital role in biological systems with memory. In this paper, we propose an epidemic model for Zika virus infection using delay differential equations with fractional order. Multiple time delays are incorporated in the model to consider the latency of the infection in a vector and the latency of the infection in the infected host. We investigate the necessary and sufficient conditions for stability of the steady states and Hopf bifurcation with respect to three time delays τ1, τ2, and τ3. The model undergoes a Hopf bifurcation at the threshold parameters τ1∗, τ2∗, and τ3∗. Some numerical simulations are given to show the effectiveness of obtained results. The numerical simulations confirm that combination of fractional order and time delays in the epidemic model effectively enriches the dynamics and strengthens the stability condition of the model.
AB - Time delays and fractional order play a vital role in biological systems with memory. In this paper, we propose an epidemic model for Zika virus infection using delay differential equations with fractional order. Multiple time delays are incorporated in the model to consider the latency of the infection in a vector and the latency of the infection in the infected host. We investigate the necessary and sufficient conditions for stability of the steady states and Hopf bifurcation with respect to three time delays τ1, τ2, and τ3. The model undergoes a Hopf bifurcation at the threshold parameters τ1∗, τ2∗, and τ3∗. Some numerical simulations are given to show the effectiveness of obtained results. The numerical simulations confirm that combination of fractional order and time delays in the epidemic model effectively enriches the dynamics and strengthens the stability condition of the model.
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U2 - 10.1155/2019/4178073
DO - 10.1155/2019/4178073
M3 - Article
AN - SCOPUS:85075659320
SN - 1076-2787
VL - 2019
JO - Complexity
JF - Complexity
M1 - 4178073
ER -