Found 34 Documents (Results 1–34)
Generalised solution to a 2D parabolic-parabolic chemotaxis system for urban crime: global existence and large-time behaviour. (English) Zbl 07930517
Global boundedness and asymptotic behavior of solutions to a three-dimensional immune chemotaxis system. (English) Zbl 1537.35064
On small-data solution of the chemotaxis-SIS epidemic system with bilinear incidence rate. (English) Zbl 1537.35090
Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity. (English) Zbl 1533.92029
A chemotaxis system with singular sensitivity for burglaries in the higher-dimensional settings: generalized solvability and long-time behavior. (English) Zbl 1532.35454
Global classical solvability and asymptotic behaviors of a parabolic-elliptic chemotaxis-type system modeling crime activities. (English) Zbl 1530.35065
Global existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic source. (English) Zbl 1530.92022
Eventual smoothness of generalized solutions to a singular chemotaxis system for urban crime in space dimension 2. (English) Zbl 1532.35119
Boundedness and asymptotic behavior of solutions to one-dimensional urban crime system with nonlinear diffusion. (English) Zbl 1521.35045
On a crime model in higher-dimensional setting: global generalized solvability and eventual smoothness. (English) Zbl 1519.35339
Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities. (English) Zbl 1517.35229
Smoothness effects of a quadratic damping term of mixed type on a chemotaxis-type system modeling propagation of urban crime. (English) Zbl 1517.35118
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. (English) Zbl 1525.35038
Reviewer: Lingeshwaran Shangerganesh (Ponda)
Global large-data generalized solutions to a two-dimensional chemotaxis system stemming from crime modelling. (English) Zbl 1516.35420
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. (English) Zbl 1503.35234
A new result for global solvability in a singular chemotaxis-growth system with indirect signal production. (English) Zbl 1497.35054
Reviewer: Yuanyuan Ke (Beijing)
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation. (English) Zbl 1496.35229
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. (English) Zbl 1497.35039
Reviewer: Lingeshwaran Shangerganesh (Ponda)
Global solvability and stabilization in a three-dimensional cross-diffusion system modeling urban crime propagation. (English) Zbl 1486.35258
Global existence in a chemotaxis system with singular sensitivity and signal production. (English) Zbl 1480.92036
Finite-time blowup in attraction-repulsion systems with nonlinear signal production. (English) Zbl 1481.92022
Reviewer: Piotr Biler (Wrocław)
Understanding the effects of on- and off-hotspot policing: evidence of hotspot, oscillating, and chaotic activities. (English) Zbl 1478.35129
Asymptotic profile of a two-dimensional chemotaxis-Navier-Stokes system with singular sensitivity and logistic source. (English) Zbl 1490.35045
Reviewer: Johannes Lankeit (Hannover)
The existence and stability of spike solutions for a chemotaxis system modeling crime pattern formation. (English) Zbl 1455.35072
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. (English) Zbl 1451.35226
Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? (English) Zbl 1454.35224
Reviewer: Piotr Biler (Wrocław)
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