Found 779 Documents (Results 1–100)
Negligibility of haptotaxis on global dynamics in a chemotaxis-haptotaxis system with indirect signal production. (English) Zbl 07923487
A geometric construction of travelling waves to Keller-Segel type diffusion system with local or nonlocal delay. (English) Zbl 07922075
Blow-up prevention by indirect signal production mechanism in a two-dimensional Keller-Segel-(Navier-)Stokes system. (English) Zbl 07920874
Local existence and global boundedness for a chemotaxis system with gradient dependent flux limitation. (English) Zbl 07918287
Direct discontinuous Galerkin method with interface correction for the Keller-Segel chemotaxis model. (English) Zbl 07915982
Regularizing effect in a Keller-Segel system with density-dependent sensitivity for \(L^p\)-initial data of cell density. (English) Zbl 07915160
Global existence and boundedness in a chemotaxis model with singular sensitivity and nonlocal term. (English) Zbl 07913146
Large densities in a competitive two-species chemotaxis system in the non-symmetric case. (English) Zbl 07908365
Global solvability and asymptotic behavior of solutions for a fully parabolic nutrient taxis system. (English) Zbl 07906048
Global classical solvability and stabilization in a two-dimensional Chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. (English) Zbl 07905810
A Keller-Segel type taxis model with ecological interpretation and boundedness due to gradient nonlinearities. (English) Zbl 07896888
Finite difference approximation with ADI scheme for two-dimensional Keller-Segel equations. (English) Zbl 07893902
The positivity-preserving finite volume coupled with finite element method for the Keller-Segel-Navier-Stokes model. (English) Zbl 07893893
Global classical solutions in a self-consistent chemotaxis(-Navier)-Stokes system. (English) Zbl 07893372
Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal. (English) Zbl 07885667
Global weak solutions to a fully parabolic two-species chemotaxis system with fast \(p\)-Laplacian diffusion. (English) Zbl 07883091
A critical exponent in a quasilinear Keller-Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. (English) Zbl 07879408
Reviewer: Pan Zheng (Chongqing)
Finite time blow-up and chemotactic collapse in Keller-Segel model with signal consumption. (English) Zbl 07875094
Reviewer: Lingeshwaran Shangerganesh (Ponda)
The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source. (English) Zbl 07874571
Global well-posedness of the 3D Patlak-Keller-Segel system near a straight line. (English) Zbl 07873554
Reviewer: Piotr Biler (Wrocław)
Critical mass phenomenon for a parabolic-elliptic multispecies chemotaxis system in a two-dimensional disk. (English) Zbl 07871999
Global existence and blow-up in higher-dimensional Patlak-Keller-Segel system for multi populations. (English) Zbl 1541.35096
Global boundedness in an attraction-repulsion chemotaxis system involving nonlinear indirect signal mechanism. (English) Zbl 1541.35104
Dynamics of a random Hopfield neural lattice model with adaptive synapses and delayed Hebbian learning. (English) Zbl 1539.92011
Ukr. Math. J. 75, No. 12, 1883-1899 (2024) and Ukr. Mat. Zh. 75, No. 12, 1666-1680 (2023).
Optimal control for suppression of singularity in chemotaxis via flow advection. (English) Zbl 1537.49039
Existence, stability and slow dynamics of spikes in a 1D minimal Keller-Segel model with logistic growth. (English) Zbl 07839649
Efficient numerical schemes for a two-species Keller-Segel model and investigation of its blowup phenomena in 3D. (English) Zbl 1536.92016
Instability of homogeneous steady states in chemotaxis systems with flux limitation. (English) Zbl 07835175
Reviewer: Mario Fuest (Hannover)
A note to the global solvability of a chemotaxis-Navier-Stokes system with density-suppressed motility. (English) Zbl 1536.35007
Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics. (English) Zbl 1536.35067
Discrete Contin. Dyn. Syst. 44, No. 4, 882-904 (2024); erratum ibid. 44, No. 9, 2846-2848 (2024).
Dynamics for a chemotaxis model with general logistic damping and signal dependent motility. (English) Zbl 07815384
Modeling the interplay of oscillatory synchronization and aggregation via cell-cell adhesion. (English) Zbl 1534.92025
Global existence and asymptotic behavior in a two-species chemotaxis system with signal production. (English) Zbl 1533.92031
Reviewer: Lingeshwaran Shangerganesh (Ponda)
Distinguishing between long-transient and asymptotic states in a biological aggregation model. (English) Zbl 1534.92102
Global existence of solutions in some chemotaxis systems with sub-logistic source under nonlinear Neumann boundary conditions in 2d. (English) Zbl 1532.35063
Finite element numerical schemes for a chemo-attraction and consumption model. (English) Zbl 1535.65191
Reviewer: Bülent Karasözen (Ankara)
Stable singularity formation for the Keller-Segel system in three dimensions. (English) Zbl 1532.35012
Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 4, 40 p. (2024); correction ibid. 248, No. 4, Paper No. 57, 2 p. (2024).
Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system. (English) Zbl 1531.35043
Novel aspects in pattern formation arise from coupling Turing reaction-diffusion and chemotaxis. (English) Zbl 1530.92015
Global and exponential stabilization of morphogenesis models with logarithmic sensitivity and linear degradation. (English) Zbl 1528.35012
Some further progress for boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion. (English) Zbl 1527.35163
Global existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic source. (English) Zbl 1530.92022
Spectral optimization for weighted anisotropic problems with Robin conditions. (English) Zbl 1530.35171
Reviewer: Patrick Winkert (Berlin)
Global existence and asymptotic behavior of a predator-prey chemotaxis system with inter-species interaction coefficients. (English) Zbl 1527.35067
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation. (English) Zbl 07859167
Reviewer: Piotr Biler (Wrocław)
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller-Segel-Navier-Stokes system? (English) Zbl 1537.35346
Reviewer: Piotr Biler (Wrocław)
Pullback attractors of nonautonomous lattice difference equations. (English) Zbl 1540.37102
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 299-307 (2023).
The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model. (English) Zbl 1532.35008
A novel growing wavelet neural network algorithm for solving chemotaxis systems with blow-up. (English) Zbl 1531.92011
Persistence of traveling waves to the time fractional Keller-Segel system with a small parameter. (English) Zbl 1538.34225
Critical mass phenomena in higher dimensional quasilinear Keller-Segel systems with indirect signal production. (English) Zbl 1530.35025
Stabilization in a two-dimensional fractional chemotaxis-Navier-Stokes system with logistic source. (English) Zbl 1530.35048
A blow-up criterion to a Keller-Segel system coupled with the Euler fluid. (English) Zbl 07782362
Reviewer: Salah Mehdi (Metz)
A repertoire of repulsive Keller-Segel models with logarithmic sensitivity: derivation, traveling waves, and quasi-stationary dynamics. (English) Zbl 1529.35125
On the existence of solutions for a parabolic-elliptic chemotaxis model with flux limitation and logistic source. (English) Zbl 1529.35004
Nonconstant steady states and pattern formations of generalized 1D cross-diffusion systems with prey-taxis. (English) Zbl 1530.92181
On the global existence of solutions to chemotaxis system for two populations in dimension two. (English) Zbl 1531.35010
Reviewer: Neng Zhu (Nanchang)
Large time behavior of solutions to a 3D Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation. (English) Zbl 1527.35073
Global existence and boundedness in a chemotaxis system with indirect nonlinear signal production. (English) Zbl 1526.35088
An optimal control problem subject to strong solutions of chemotaxis-consumption models. (English) Zbl 1541.92022
Global boundedness and large time behavior in a chemotaxis system with indirect signal consumption. (English) Zbl 07754461
Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility. (English) Zbl 1538.92003
Critical mass for Keller-Segel systems with supercritical nonlinear sensitivity. (English) Zbl 1523.35032
Existence and asymptotic stability in a fractional chemotaxis system with competitive kinetics. (English) Zbl 1523.35045
Global solvability, pattern formation and stability to a chemotaxis-haptotaxis model with porous medium diffusion. (English) Zbl 1528.35009
Corners and collapse: some simple observations concerning critical masses and boundary blow-up in the fully parabolic Keller-Segel system. (English) Zbl 1522.35105
Singularity extraction for elliptic equations with coefficients with jumps and Dirac sources. (English) Zbl 1529.35527
Global existence of classical solutions and numerical simulations of a cancer invasion model. (English) Zbl 1522.35006
Strong periodic solutions to quasilinear parabolic equations: an approach by the Da Prato-Grisvard theorem. (English) Zbl 1526.35020
On a parabolic-ODE chemotaxis system with periodic asymptotic behavior. (English) Zbl 1521.35037
Dutta, Hemen (ed.), Mathematical modelling. Theory and application. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 787, 55-91 (2023).
Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems. (English) Zbl 1521.35029
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy. (English) Zbl 1519.35032
The wave speed of an FKPP equation with jumps via coordinated branching. (English) Zbl 1531.60043
Reviewer: Krzysztof Bartoszek (Linköping)
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems. (English) Zbl 1518.35027
Modeling and pricing cyber insurance. Idiosyncratic, systematic, and systemic risks. (English) Zbl 1521.91308
Reviewer: Pavel Stoynov (Sofia)
Global regularity and stability analysis of the Patlak-Keller-Segel system with flow advection in a bounded domain: a semigroup approach. (English) Zbl 1518.35100
The convergence rate of solutions in a class of chemotaxis systems with density-dependent motility and indirect signal absorption. (English) Zbl 1518.35112
Global solvability in a two-dimensional singular chemotaxis-fluid system with indirect signal production or consumption. (English) Zbl 1523.35008
Reviewer: Chunhua Jin (Guangzhou)
Hydrodynamic limit of a stochastic model of proliferating cells with chemotaxis. (English) Zbl 07705745
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