Periodic solution and control optimization of a prey-predator model with two types of harvesting

• Published in: Advances in difference equations Vol. 2018; no. 1; pp. 1 - 14
• Main Authors: Wang, Jianmei, Cheng, Huidong, Liu, Hongxia, Wang, Yanhui
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 25.01.2018; SpringerOpen
• Subjects: Analysis; Difference and Functional Equations; Functional Analysis; Mathematics; Mathematics and Statistics; optimization; order-1 periodic solution; Ordinary Differential Equations; Partial Differential Equations; prey-predator model; stability; state-dependent impulse; 34C25; prey-predator model; 34A37; 92B05; optimization; 34D20; state-dependent impulse; order-1 periodic solution; stability

In this work, a prey-predator model with both state-dependent impulsive harvesting and constant rate harvesting is investigated, where the replenishment rate of prey and the harvesting rate are linearly related with the selected threshold. By first using the successor function method and differentia...