Journal
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
Volume 13, Issue 5, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793524520500072
Keywords
Homoclinic orbit; periodic solution; successor function; existence; stability
Categories
Funding
- National Natural Science Foundation of China [11671346]
- Nanhu Scholars Program of XYNU
Ask authors/readers for more resources
In this paper, three competitive systems with different kinds of state-dependent control are presented and investigated. The existence of the order-1 homoclinic orbit and order-1 periodic solution of the two systems that incorporate just one kind of state-dependent control is obtained by applying differential equation geometry theory, and the stability of the order-1 periodic solution of each system is also given. Besides, sufficient conditions for the existence and stability of the order-2 periodic solution of the system that incorporate two kinds of state-dependent control are gained by successor function method and analogue of Poincare criterion, respectively. Finally, numerical simulations are carried out to verify the theoretical results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available