A fractlonal-order delay differential model for Ebola infection and CD8＋ T-cells response： Stability analysis and Hopf bifurcation
A fractlonal-order delay differential model for Ebola infection and CD8＋ T-cells response： Stability analysis and Hopf bifurcation作者机构：Department of Mathematics Bharathiar University Coimbatore 641 046 Tamil Nadu India Department of Mathematical Sciences College of Science UAE University AI-Ain 15551 UAE
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2017年第10卷第8期
页 面：103-124页
学科分类：05[文学] 0503[文学-新闻传播学]
主 题：Ebola virus CTL response Hopf bifurcation stability time-delay.
摘 要：In this paper, we study a fractional-order model with time-delay to describe the dynamics of Ebola virus infection with cytotoxic T-lymphocyte （CTL） response in vivo. The time- delay is introduced in the CTL response term to represent time required to stimulate the immune system. Based on fractional Laplace transform, some conditions on stability and Hopf bifurcation are derived for the model. The analysis shows that the fractional- order with time-delay can effectively enrich the dynamics and strengthen the stability condition of fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.
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