Delay-dependent stability criteria of delayed positive systems with uncertain control inputs: Application in mosquito-borne morbidities control

J. Dianavinnarasi, Yang Cao, R. Raja, G. Rajchakit and C.P. Lim

Applied Mathematics and Computation, 2020, vol. 382, issue C

Abstract: This note pays precise attention to derive the γ-exponential stability results of positive delayed systems via non-fragile control. By using Lyapunov–Krasovskii theory some necessary conditions are derived. Moreover, by using results from spectrum analysis the sufficient conditions for positive delayed systems with non-fragile control are analyzed. Our main intension is to locate the ideal application of this type of systems. In later part of this paper, the novel mathematical model which describes the life stages of Aedes Aegypti mosquitoes is proposed. In that model, the life shorting bacteria called Wolbachia is used as a biological control. By moderately thinking about the uncertain conditions in the biological control we implemented the non-fragile control. By applying the proposed results the γ-exponential stability of this population system is derived. Finally, some numerical examples are provided to expose the effectiveness of our predominant results.

Keywords: Positive systems; Mosquito borne diseases; Uncertain control; Delay differential equations; Wolbachia; Aedes aegypti (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:382:y:2020:i:c:s009630032030179x

DOI: 10.1016/j.amc.2020.125210

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