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Mathematical analysis of an integral equation arising from population dynamics

journal contribution
posted on 2023-06-07, 22:08 authored by D A Kay, M Sagheer, Qi Tang
In this paper, we establish the existence of travelling wave solution to an intrinsically non-linear differential-integral equation formed as a result of mathematical modelling of the evolution of an asexual population in a changing environment. This equation is first converted to a non-linear integral equation. The discretization and manipulation of the corresponding eigenvalue problem allows us to use the theory of positive matrices to get some very useful estimates and then to confirm the existence of solution. We also exhibit numerical simulation results and explain the biological meaning of the results.

History

Publication status

  • Published

Journal

Mathematical Biosciences

ISSN

0025-5564

Issue

2

Volume

210

Page range

415-435

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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