The Lotka-Volterra models with nonlocal cross-diffusivity terms
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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.
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Coexistence states, Cross-diffusion, Index point fixed, Lotka-Volterra systems, Nonlocal diffusivity terms
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Inglês
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Journal of Mathematical Analysis and Applications, v. 547, n. 1, 2025.
