Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework.

Autor:	Li Y; School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4001, Australia., Buenzli PR; School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4001, Australia., Simpson MJ; School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4001, Australia.
Jazyk:	angličtina
Zdroj:	Proceedings. Mathematical, physical, and engineering sciences [Proc Math Phys Eng Sci] 2022 Jun; Vol. 478 (2262), pp. 20220013. Date of Electronic Publication: 2022 Jun 01.
DOI:	10.1098/rspa.2022.0013
Abstrakt:	Understanding whether a population will survive or become extinct is a central question in population biology. One way of exploring this question is to study population dynamics using reaction-diffusion equations, where migration is usually represented as a linear diffusion term, and birth-death is represented with a nonlinear source term. While linear diffusion is most commonly employed to study migration, there are several limitations of this approach, such as the inability of linear diffusion-based models to predict a well-defined population front. One way to overcome this is to generalize the constant diffusivity, D , to a nonlinear diffusivity function D ( C ) , where C > 0 is the population density. While the choice of D ( C ) affects long-term survival or extinction of a bistable population, working solely in a continuum framework makes it difficult to understand how the choice of D ( C ) affects survival or extinction. We address this question by working with a discrete simulation model that is easy to interpret. This approach provides clear insight into how the choice of D ( C ) either encourages or suppresses population extinction relative to the classical linear diffusion model. (© 2022 The Author(s).)
Databáze:	MEDLINE
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