On a non-local selection–mutation model with a gradient flow structure
On a non-local selection–mutation model with a gradient flow structure
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DOI：
10.1088/1361-6544/aa85da
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发表时间：
2017-11
期刊：
影响因子：
1.7
通讯作者：
P. Jabin;Hailiang Liu
中科院分区：
文献类型：
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作者：
P. Jabin;Hailiang Liu
在本文中，我们感兴趣的是一个具有非线性竞争项的积分-微分模型，该模型描述了相对于连续特征结构的种群的进化。在一定的假设条件下，证明了稳定解的唯一性和严格正性，并且是全局稳定的。建立了稳态的指数收敛速率。
In this paper, we are interested in an integro-differential model with a non-linear competition term that describes the evolution of a population structured with respect to a continuous trait. Under some assumptions, the steady solution is shown unique and strictly positive, and also globally stable. The exponential convergence rate to the steady state is also established.