Stability of The Reaction-Diffusion Predator Prey Model
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2017
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Abstract
本論文探討一個包含了Reaction-diffusion 的predator-prey model，此模型出自Lakshmi Narayan Guin 的Spatial patterns through Turing instability
in a reaction–diffusion 這篇論文。
在第二章裡介紹了本篇論文所使用的方法Liapunov-liked method，這方法主要是做一個Dichotomy 的動作，藉由第三章計算出模型中線性部分的eigenvalues 後以此方法去探討模型解的穩定情形。
In this paper we consider reaction-diffusion system of predator prey model. We use the Liapunov-liked method to discuss the asymptotic behavior of the solutions and the stabilities of three equilibrium points.
In this paper we consider reaction-diffusion system of predator prey model. We use the Liapunov-liked method to discuss the asymptotic behavior of the solutions and the stabilities of three equilibrium points.
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掠食者—獵物方程, 反應擴散, 二分法, predator-prey, Reaction diffusion, Dichotomy