The Lotka-Volterra models with nonlocal cross-diffusivity terms

被引：0
作者：
Costa, M. A. V. [1 ]
Morales-Rodrigo, C. [2 ,3 ]
Suarez, A. [2 ,3 ]
机构：
[1] Univ Estadual Paulista UNESP, Dept Matemat & Computacao, BR-19060900 Presidente Prudente, SP, Brazil
[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Fac Matemat, Seville 41012, Spain
[3] Univ Seville, IMUS, Fac Matemat, Seville 41012, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 547卷 / 01期
关键词：
Lotka-Volterra systems; Nonlocal diffusivity terms; Coexistence states; Cross-diffusion; Index point fixed; POSITIVE SOLUTIONS; COMPETITION MODEL; SYSTEM; COEXISTENCE; EXISTENCE; EQUATIONS; GROWTH; PAIRS;
D O I：
10.1016/j.jmaa.2025.129316
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Lotka-Volterra systems in their three classic forms: competition, prey-predator, and cooperation. These systems include nonlocal cross-diffusivity terms, meaning that the diffusion velocity rate of one species depends on the total population of the other species. The inclusion of these nonlocal diffusivity terms causes a significant change in the structure of coexistence states compared to the classical Lotka-Volterra systems. To obtain these results, we employ mainly the fixed point index in cones. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：27
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