On a non-local selection-mutation model with a gradient flow structure

Pierre Emmanuel Jabin; Hailiang Liu

doi:10.1088/1361-6544/aa85da

On a non-local selection-mutation model with a gradient flow structure

Pierre Emmanuel Jabin, Hailiang Liu

Mathematics

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4 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	4220-4238
Number of pages	19
Journal	Nonlinearity
Volume	30
Issue number	11
DOIs	https://doi.org/10.1088/1361-6544/aa85da
State	Published - Oct 17 2017

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/aa85da

Cite this

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title = "On a non-local selection-mutation model with a gradient flow structure",

abstract = "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.",

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AB - 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.

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On a non-local selection-mutation model with a gradient flow structure

Abstract

All Science Journal Classification (ASJC) codes

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