A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
By Mingxin Wang. 2015
148 citations recorded by the source corpus.
This paper concerns a diffusive logistic equation with a free boundary and sign-changing intrinsic growth rate in heterogeneous time-periodic environment, in which the variable intrinsic growth rate may be "very negative" in a "suitable large region". Such a model can be used to describe the spreading of a new or invasive species, with the free boundary representing the expanding front. In the case of higher space dimensions with radial symmetry and the intrinsic growth rate has a positive lower bound, this problem has been studied by Du, Guo and Peng . They established a spreading-vanishing dichotomy, the sharp criteria for spreading and vanishing and estimate of the asymptotic spreading speed. In the present paper, we show that the above results are retained for our problem. This paper has been submitted to Journal of Functional Analysis in August 5, 2014 (JFA-14-548).
Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/77c5fa9ba0e905bc0a7dccffa5eab8f8282f9359
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In Applied Mathematics
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Citations in the corpus
- The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries (2018, background): “Among the many further extensions, we only mention the extension to various heterogeneous environments in [12, 13, 15, 16, 30, 31, 40], and extensions to certain Lotka-Volterra two-species systems and epidemic models in [18,21,24,39] and [7, 23,33] (see also the references therein).”
- Existence and uniqueness of solutions of free boundary problems in heterogeneous environments (2019, background): “Recent years, free boundary problems coming from ecology in the spatial heterogeneous environments had been studied by many authors, see [1]-[3], [5]-[7], [9, 10, 12], [14]-[17], for example.”
- Dynamics for a diffusive prey-predator model with different free boundaries (2015, background): “Please refer to [6]-[9], [11]-[13], [16, 21, 22, 28, 35, 37] and the references therein.”