Abstract
In this paper, research of a class of state feedback control model which is mainly used in crop pests management, with Bendixson-Dulac discriminance, proves that this model has an unique and globally stable positive equilibrium under the weak time-delay kernel function. Also, we adopt the subsequent function method in the ordinary differential equation of the geometric theory to prove that a sufficient condition holds for the existence of an order one period solution in the system. At the same time, it also proves that the periodic solution is asymptotically stable.
Highlights
Crop is an essential part of the human food resources for sustainable development
(iii) If c v < v, the system’s path line has no intersection points with the pulse set ln h, there is no periodic solution of order one in system ( ), but for any t, we have v(t) ≤
(iv) If the system path lines, have no intersection point with pulse set ln h, there is no periodic solution of order one in system ( ), but for any t, we have v(t) ≤ v +
Summary
Crop is an essential part of the human food resources for sustainable development. crop yields directly affect social and economic development as well as social stability. (ii) If the subsequent point B overlaps B, the other path line has no intersection point with the pulse set, system ( ) has a periodic solution of order one.
Sign-in/Register to view highlights & summary 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.
