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• W4387556973 startingPage "399" @default.
• W4387556973 abstract "This paper is concerned with the propagation dynamics of the time periodic Lotka-Volterra competition systems with nonlocal dispersal in a shifting habitat. We first obtain three types of time-periodic forced waves connecting the extinction state to the co-existence state, itself and the semi-trivial state, which describe the conversion from the state of two aboriginal co-existent competing species, two invading alien competitors, and a saturated aboriginal competitor with another invading alien competitor to the extinction state, respectively. This provides a comprehensive explanation of the point-wise extinction dynamics of these two competing species under such a time-periodic worsening habitat. Then, we establish the spreading properties of the associated Cauchy problem depending on the range of the shifting speed. More specifically, we give a complete description on the threshold values for the extinction as well as persistence (by moving with asymptotic speed). Our results reveal the possibility that a competitively weaker species with a much faster spreading speed can drive a competitively stronger species with a slower spreading speed to extinction. The discussion in this paper applies to both cases of weak competition and strong-weak competition. In particular, we need to point out that some combined effects of nonlocal dispersal, two-variable coupling and time-periodic shifting heterogeneity in this system pose extra difficulties in mathematical treatment, which are dealt with by introducing new approaches." @default.
• W4387556973 created "2023-10-12" @default.
• W4387556973 creator A5000374033 @default.
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• W4387556973 date "2024-01-01" @default.
• W4387556973 modified "2023-10-18" @default.
• W4387556973 title "Propagation dynamics of nonlocal dispersal competition systems in time-periodic shifting habitats" @default.
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• W4387556973 doi "https://doi.org/10.1016/j.jde.2023.09.027" @default.
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