#7508. Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems

October 2026publication date
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Journal’s subject area:
Applied Mathematics;
Engineering (all);
Modeling and Simulation;
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Abstract:
Population cross-diffusion systems of Shigesada–Kawasaki–Teramoto type are derived in a mean-field-type limit from stochastic, moderately interacting many-particle systems for multiple population species in the whole space. The diffusion term in the stochastic model depends nonlinearly on the interactions between the individuals, and the drift term is the gradient of the environmental potential.
Keywords:
Cross-diffusion system; Mean-field limit; Moderately interacting particle systems; Population dynamics; Rigorous derivation; Shigesada–Kawasaki–Teramoto model; Stochastic particle systems

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