A concrete example with three limit cycles in Zeeman’s class 29 for three dimensional Lotka–Volterra competitive systems

• Published in: Mathematical biosciences Vol. 308; pp. 38 - 41
• Main Author: Murakami, Kouichi
• Format: Journal Article
• Language: English
• Published: United States Elsevier Inc 01.02.2019; Elsevier Science Ltd
• Subjects: 3D Lotka–Volterra competitive systems; Competitive advantage; Economic models; Ecosystem; Hopf bifurcation; Mathematical models; Models, Biological; Multiple limit cycles; Perturbation; Hopf bifurcation; Multiple limit cycles; 3D Lotka–Volterra competitive systems

•A concrete example with three limit cycles for 3D Lotka–Volterra competitive systems is presented.•The critical parameter values such that the interior equilibrium is an exact unstable weak focus are given explicitly.•The phase portrait that we can see three limit cycles is drawn by numerical simul...