Abstract
In this paper, a piecewise smooth dengue model with threshold policy is developed, and the impacts of different control measures on the spread of dengue fever are also investigated. The number of dengue infections is used as a threshold level to determine whether to implement control, and control measures are triggered only if the number of infected individuals exceeds . Using the Routh–Hurwitz criterion, the dynamic behaviors of the free system and control system are studied. Then, the existence of the sliding mode is verified, and the sliding dynamics are analyzed by using the Utkin equivalent control method. It is shown that model solutions eventually converge to one of two endemic equilibria or the sliding equilibrium depending on . In addition, by using Ekeland's principle and maximum principle, the sufficient and necessary conditions for near‐optimal controls of this model are obtained. Finally, numerical simulations are carried out to explain and supplement the theoretical results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
