Asymptotic spreading of competition diffusion systems: The role of interspecific competitions
By Guo Lin, Wan-Tong Li. European journal of applied mathematics, 2012
46 citations recorded by the source corpus.
This paper is concerned with the asymptotic spreading of competition diffusion systems, with the purpose of formulating the propagation modes of a co-invasion–coexistence process of two competitors. Using the comparison principle for competitive systems, some results on asymptotic spreading are obtained. Our conclusions imply that the interspecific competitions slow the invasion of one species and decrease the population densities in the coexistence domain. Therefore, the interspecific competitions play a negative role in the evolution of competitive communities.
Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science
View Paper: https://www.semanticscholar.org/paper/f929468696c855e0a80a484660f35e213e560b99
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Citations in the corpus
- Dynamics for a diffusive prey-predator model with different free boundaries (2015, background): “The other related works on the asymptotic spreading speeds of evolutionary systems, please refer to [2, 23, 24, 27, 31, 42, 46] and the references cited therein.”
- Invasion of open space by two competitors: spreading properties of monostable two‐species competition‐diffusion systems (2018, methodology): “It was first proved by Ducrot, Giletti and Matano [9] in the case of predator–prey interactions (the conclusion being then that no predation occurs far ahead of the territory of the predator), and by Lin and Li [29] in case of two-species competition (the conclusion being that the region of coexiste”