Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat

By Guo‐Bao Zhang, Xiao-Qiang Zhao. Journal of Differential Equations, 2020

87 citations recorded by the source corpus.

Abstract This paper is devoted to the study of the propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat. We first show that this equation admits a periodic forced wave with the speed at which the habitat is shifting by using the monotone iteration method combined with a pair of generalized super- and sub-solutions. Then we establish the nonexistence, uniqueness and global exponential stability of periodic forced waves by applying the sliding technique and the comparison argument. Finally, we obtain the spreading properties for a large class of solutions.

Subfields: Applied Mathematics, Numerical Analysis, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/9e40373f25325b15d14959fef790e2547427c3fc

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In Applied Mathematics

In Numerical Analysis

In Public Health, Environmental and Occupational Health

Citations in the corpus

Propagation dynamics for monotone evolution systems without spatial translation invariance (2020, background): “, [2, 22, 36]), there have been quite a few works on traveling waves and asymptotic behavior for evolution equation models with a shifting environment, see [3, 4, 7, 8, 9, 10, 11, 12, 18, 20, 25, 26, 31, 37, 40, 45] and references therein.”
Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal (2021, background): “We also point to [39] for propagation in a time-periodic shifting habitat.”