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Dynamical behavior of Lotka–Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise |
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| Authors: | N H Du R Kon K Sato Y Takeuchi |
| Institution: | a Faculty of Mathematics, Mechanics and Informatics, Hanoi National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Viet Nam b Department of Systems Engineering, Shizuoka University, Japan |
| Abstract: | This article is concerned with the study of trajectory behavior of Lotka–Volterra competition bistable systems and systems with telegraph noises. We proved that for bistable systems, there exists a unique solution, bounded above and below by positive constants. The oscillatory situation of systems with telegraph noises is pointed out. |
| Keywords: | Lotka–Volterra equation Competition Bistable Telegraph noise |
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