JournalsaihpcVol. 38, No. 3pp. 507–547

Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition

  • Rui Peng

    School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, Jiangsu Province, People's Republic of China

  • Chang-Hong Wu

    Department of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwan, Republic of China

  • Maolin Zhou

    Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People's Republic of China
Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition cover
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Abstract

This paper is concerned with the classical two-species Lotka-Volterra diffusion system with strong competition. The sharp dynamical behavior of the solution is established in two different situations: either one species is an invasive one and the other is a native one or both are invasive species. Our results seem to be the first that provide a precise spreading speed and profile for such a strong competition system. Among other things, our analysis relies on the construction of new types of supersolution and subsolution, which are optimal in certain sense.

Cite this article

Rui Peng, Chang-Hong Wu, Maolin Zhou, Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 3, pp. 507–547

DOI 10.1016/J.ANIHPC.2020.07.006