A Fractional-Order Food Chain System Incorporating Holling-II Type Functional Response and Prey Refuge

Yonggui Kao, Changhong Wang, Hongwei Xia and Yue Cao
Additional contact information
Yonggui Kao: Harbin Institute of Technology (Weihai), Department of Mathematics
Changhong Wang: Harbin Institute of Technology, School of Astronautics
Hongwei Xia: Harbin Institute of Technology, School of Astronautics
Yue Cao: Harbin Institute of Technology (Weihai), Department of Mathematics

Chapter Chapter 10 in Analysis and Control for Fractional-order Systems, 2024, pp 197-234 from Springer

Abstract: Abstract Recently, many scholars have focused on the applications of the fractional derivatives and fractional calculus. Compared with the integer-order differential equations, the momentous advantage of a fractional-order system is that it has memory. The introduction of fractional differential equation solves the problem of time memory, which makes the fractional ecosystem more reasonable than the ordinary differential ecosystem. Thus, more and more reports on fractional-order two species model and fractional-order food chain system of three species have been presented in the past decade. The study on fractional-order biological systems also involves the existence of solutions, boundedness of solutions, stability of equilibrium point, bifurcation, and chaos. It is different from the integer-order ecosystem that the chaos may occur in ecosystem with orders less than 3.

Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-99-6054-5_10

Ordering information: This item can be ordered from
http://www.springer.com/9789819960545

DOI: 10.1007/978-981-99-6054-5_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().