Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System

Author:

Kryzhevich S.,Avrutin V.,Söderbacka G.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference29 articles.

1. J. Alebraheem and Y. Abu-Hasan, ‘‘Persistence of predators in a two predators- one prey model with non-periodic solution,’’ Appl. Math. Sci. 6, 943–956 (2012).

2. V. Avrutin, L. Gardini, I. Sushko, and F. Tramontana, Continuous and Discontinuous Piecewise-Smooth One-dimensional Maps: Invariant Sets and Bifurcation Structures, Vol. 95 of Nonlinear Science, Series A (World Scientific, Singapore, 2019).

3. Y. V. Bakhanova, A. O. Kazakov, and A. G. Korotkov, ‘‘Spiral chaos in Lotka–Volterra like models,’’ Zh. Srednevolzh. Mat. Ob-va 19 (2), 13–24 (2017).

4. G. J. Butler and P. Waltman, ‘‘Bifurcation from a limit cycle in a two predator one prey ecosystem modeled on a chemostat,’’ J. Math. Biol. 12, 295–310 (1981).

5. R. Devaney, An Introduction to Chaotic Dynamical Systems (CRC, Boca Raton, FL, 2003).

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