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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 TangIn 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 BiosciencesISSN
0025-5564External DOI
Issue
2Volume
210Page range
415-435Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes