Found 30 Documents (Results 1–30)
Turing and wave instabilities in hyperbolic reaction-diffusion systems: the role of second-order time derivatives and cross-diffusion terms on pattern formation. (English) Zbl 1496.35059
Correlated random walks in heterogeneous landscapes: derivation, homogenization, and invasion fronts. (English) Zbl 1485.35028
An easy-to-implement parallel algorithm to simulate complex instabilities in three-dimensional (fractional) hyperbolic systems. (English) Zbl 1535.65135
A parallelized computational model for multidimensional systems of coupled nonlinear fractional hyperbolic equations. (English) Zbl 1453.65227
Local proportional-integral boundary feedback stabilization for quasilinear hyperbolic systems of balance laws. (English) Zbl 1452.93032
Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: theoretical analysis and pattern formation. (English) Zbl 1453.65274
An efficient and fully explicit model to simulate delayed activator-inhibitor systems with anomalous diffusion. (English) Zbl 1421.92042
Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. (English) Zbl 1415.92151
Nonlinear waves and polarization in diffusive directed particle flow. (English) Zbl 1397.35316
Reviewer: Eugene Postnikov (Kursk)
Mini-workshop: PDE models of motility and invasion in active biosystems. Abstracts from the mini-workshop held October 22–28, 2017. (English) Zbl 1409.00069
The diffusion limit of transport equations in biology. (English) Zbl 1353.92077
Preziosi, Luigi (ed.) et al., Mathematical models and methods for living systems, Levico Terme, Italy 2014. Based on lectures given at the C.I.M.E.-C.I.R.M. summer school. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-42678-5/pbk; 978-3-319-42679-2/ebook). Lecture Notes in Mathematics 2167. CIME Foundation Subseries, 73-129 (2016).
High-order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates. (English) Zbl 1318.65051
Reviewer: Yajuan Sun (Beijing)
Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates. (English) Zbl 1305.65209
Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review. (English) Zbl 1252.92012
Fredholmness and smooth dependence for linear time-periodic hyperbolic systems. (English) Zbl 1237.35108
Reviewer: Vladimír Ďurikovič (Trnava)
An investigation of a nonlocal hyperbolic model for self-organization of biological groups. (English) Zbl 1204.92072
Weakly nonlinear analysis of a hyperbolic model for animal group formation. (English) Zbl 1204.92071
Modeling group formation and activity patterns in self-organizing collectives of individuals. (English) Zbl 1298.92121
An individual based model of rippling movement in a myxobacteria population. (English) Zbl 1445.92034
Lattice gas cellular automation model for rippling and aggregation in myxobacteria. (English) Zbl 1049.92014
Rippling of myxobacteria. (English) Zbl 1035.92006
MSC:
92C15
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