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Competing effects of attraction vs. repulsion in chemotaxis
Y Tao, ZA Wang - Mathematical Models and Methods in Applied …, 2013 - World Scientific
We consider the attraction–repulsion chemotaxis system under homogeneous Neumann
boundary conditions in a bounded domain Ω⊂ ℝn with smooth boundary, where χ≥ 0, ξ≥ …
boundary conditions in a bounded domain Ω⊂ ℝn with smooth boundary, where χ≥ 0, ξ≥ …
Competitive exclusion in a two-species chemotaxis model
C Stinner, JI Tello, M Winkler - Journal of mathematical biology, 2014 - Springer
We consider a mathematical model for the spatio-temporal evolution of two biological
species in a competitive situation. Besides diffusing, both species move toward higher …
species in a competitive situation. Besides diffusing, both species move toward higher …
Generalizing the Keller–Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of …
D Horstmann - Journal of nonlinear science, 2011 - Springer
In this paper we extend the famous Keller–Segel model for the chemotactic movement of
motile species to some multi-species chemotaxis equations. The presented multi-species …
motile species to some multi-species chemotaxis equations. The presented multi-species …
Global bifurcation and pattern formation for a reaction–diffusion predator–prey model with prey-taxis and double Beddington–DeAngelis functional responses
D Luo, Q Wang - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
Of concern in this paper is to propose an accurate description for the global bifurcation
structure of the nonconstant steady states for a reaction–diffusion predator–prey model with …
structure of the nonconstant steady states for a reaction–diffusion predator–prey model with …
Global bifurcation of solutions for a predator–prey model with prey‐taxis
X Wang, W Wang, G Zhang - Mathematical Methods in the …, 2015 - Wiley Online Library
We study pattern formations in a predator–prey model with prey‐taxis. It is proved that a
branch of nonconstant solutions can bifurcate from the positive equilibrium only when the …
branch of nonconstant solutions can bifurcate from the positive equilibrium only when the …
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis
Y Peng, Y Li, T Zhang - Nonlinear Analysis: Real World Applications, 2021 - Elsevier
In this paper, we first study the stability of the positive constant equilibrium and Turing
instability induced by prey-taxis for phytoplankton–zooplankton system with prey-taxis. Then …
instability induced by prey-taxis for phytoplankton–zooplankton system with prey-taxis. Then …
Stability and bifurcation in a predator–prey system with prey-taxis
H Qiu, S Guo, S Li - International Journal of Bifurcation and Chaos, 2020 - World Scientific
In this paper, we consider a generalized predator–prey system with prey-taxis under
Neumann boundary condition, that is, the predators can survive even in the absence of the …
Neumann boundary condition, that is, the predators can survive even in the absence of the …
[HTML][HTML] A positivity-preserving finite element method for chemotaxis problems in 3D
R Strehl, A Sokolov, D Kuzmin, D Horstmann… - Journal of Computational …, 2013 - Elsevier
We present an implicit finite element method for a class of chemotaxis models in three
spatial dimensions. The proposed algorithm is designed to maintain mass conservation and …
spatial dimensions. The proposed algorithm is designed to maintain mass conservation and …
Stationary solutions of a volume-filling chemotaxis model with logistic growth and their stability
In this paper, we derive the conditions for the existence of stationary solutions (ie,
nonconstant steady states) of a volume-filling chemotaxis model with logistic growth over a …
nonconstant steady states) of a volume-filling chemotaxis model with logistic growth over a …
Sharp condition for blow-up and global existence in a two species chemotactic Keller–Segel system in 2
For the parabolic–elliptic Keller–Segel system in 2 it has been proved that if the initial mass
is less than 8π/χ, a global solution exists, and in case the initial mass is larger than 8π/χ …
is less than 8π/χ, a global solution exists, and in case the initial mass is larger than 8π/χ …