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Rearing Ixodes scapularis, the Black-legged Tick: Feeding Immature Stages on Mice
Published on: May 8, 2017
Attractivity criterion on a delayed tick population dynamics equation with a reproductive function $ f(u) =
Fawaz E Alsaadi1, Chuangxia Huang2, Madini O Alassafi1
1Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia.
Abstract:
The aim of this article is to analyze the delay influence on the attraction for a scalar tick population dynamics equation accompanying two disparate delays. Taking advantage of the fluctuation lemma and some dynamic inequalities, we derive a criterion to assure the persistence and positiveness on the considered model. Furthermore, a time-lag-dependent condition is proposed to insure the global attractivity for the addressed model. Besides, we give some simulation diagrams to substantiate the validity of the theoretical outcomes.
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