A Mathematical Model of Tritrophic Systems
- 10.2991/jrnal.k.211108.002How to use a DOI?
- Chemical ecology; Lotoka–Volterra equation; tri-trophic system; mathematical biology
Lotoka–Volterra, LV equations are to model predator–prey problem. In principle, the LV equations are belongs to a two-person system. Even if there are many-body, it is structurally in two-body, i.e., with three or more predators and a prey. On the other hand, chemical ecology has shown that plants damaged by predation produce information chemicals (Hervibore Induced Plant Volatile, HIPV) that attract natural enemies. Chemical ecology suggests that the ecosystem is a tri-trophic system consisting of predator–plant (HIPV)–prey. Therefore, chemical ecosystems are essentially different from LV equations. This paper proposes a basic equation for tri-trophic systems and investigates their stability.
- © 2021 The Author. Published by Atlantis Press International B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Yasuhiro Suzuki PY - 2021 DA - 2021/12/27 TI - A Mathematical Model of Tritrophic Systems JO - Journal of Robotics, Networking and Artificial Life SP - 241 EP - 244 VL - 8 IS - 4 SN - 2352-6386 UR - https://doi.org/10.2991/jrnal.k.211108.002 DO - 10.2991/jrnal.k.211108.002 ID - Suzuki2021 ER -