Analysis of kinetic and macroscopic models of pursuit-evasion dynamics

DOI10.4310/CMS.2016.V14.N8.A7zbMath1354.92061OpenAlexW2542032839MaRDI QIDQ346005

Thierry Goudon, Luis F. Urrutia

Publication date: 5 December 2016

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2016.v14.n8.a7

zbMATH Keywords

self-organizationregularity of solutionskinetic modelscollective behaviourDe Giorgi's methodhydrodynamic modelsself-propelling particles

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (13)

Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics ⋮ A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing ⋮ A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal ⋮ A parabolic-quasilinear predator-prey model under pursuit-evasion dynamics ⋮ Global and bounded solution to a quasilinear parabolic-elliptic pursuit-evasion system in \(N\)-dimensional domains ⋮ The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model ⋮ Large time behavior in a predator-prey system with indirect pursuit-evasion interaction ⋮ Global Solutions near Homogeneous Steady States in a Multidimensional Population Model with Both Predator- and Prey-Taxis ⋮ Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion ⋮ Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension ⋮ Large time behavior in a predator-prey system with pursuit-evasion interaction ⋮ Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction ⋮ Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension

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