Global boundedness of a diffusive prey-predator model with indirect prey-taxis and predator-taxis

Global solvability of prey–predator models with indirect predator-taxis

(2021) Inkyung Ahn et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation

(2021) Youshan Tao et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Analysis of a chemotaxis model with indirect signal absorption

(2019) Mario Fuest   JOURNAL OF DIFFERENTIAL EQUATIONS

The Dynamics of a Predator–Prey Model with Diffusion and Indirect Prey-Taxis

(2019) Jianping Wang et al.   Journal of Dynamics and Differential Equations

Boundedness in a chemotaxis system with indirect signal production and generalized logistic source

(2018) Huayin Li et al.   APPLIED MATHEMATICS LETTERS

Large Time Behavior in a Chemotaxis Model with Nonlinear General Diffusion for Tumor Invasion

(2018) Kentarou Fujie et al.   Funkcialaj Ekvacioj-Serio Internacia

Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis

(2018) Sainan Wu et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Application of an Adams type inequality to a two-chemical substances chemotaxis system

(2017) Kentarou Fujie et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Global stability of prey-taxis systems

(2017) Hai-Yang Jin et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production

(2017) Youshan Tao et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

On the stability of homogeneous steady states of a chemotaxis system with logistic growth term

(2016) M.A.J. Chaplain et al.   APPLIED MATHEMATICS LETTERS

Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics

(2016) Michael Winkler et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Global existence of solutions and uniform persistence of a diffusive predator–prey model with prey-taxis

(2016) Sainan Wu et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Predator–prey model with diffusion and indirect prey-taxis

(2016) J. Ignacio Tello et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production

(2016) Bingran Hu et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Global boundedness of solutions in a reaction–diffusion system of predator–prey model with prey-taxis

(2015) Xiao He et al.   APPLIED MATHEMATICS LETTERS

Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals

(2015) Michael Winkler et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source

(2015) Tian Xiang   JOURNAL OF DIFFERENTIAL EQUATIONS

New critical exponents in a fully parabolic quasilinear Keller–Segel system and applications to volume filling models

(2015) Tomasz Cieślak et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

(2015) N. Bellomo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system

(2015) Youshan Tao et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening

(2014) Michael Winkler   JOURNAL OF DIFFERENTIAL EQUATIONS

Boundedness in quasilinear Keller–Segel systems of parabolic–parabolic type on non-convex bounded domains

(2014) Sachiko Ishida et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Global bifurcation of solutions for a predator-prey model with prey-taxis

(2014) Xiaoli Wang et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion

(2014) Christian Stinner et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Nondegeneracy of blow-up points for the parabolic Keller–Segel system

(2013) Noriko Mizoguchi et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Competitive exclusion in a two-species chemotaxis model

(2013) C. Stinner et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Finite-time blowup and global-in-time unbounded solutions to a parabolic–parabolic quasilinear Keller–Segel system in higher dimensions

(2012) Tomasz Cieślak et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS

(2012) YOUSHAN TAO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity

(2011) Youshan Tao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction

(2011) Michael Winkler   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

(2010) Michael Winkler   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Global existence of classical solutions to a predator–prey model with nonlinear prey-taxis

(2009) Youshan Tao   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect

(2009) Michael Winkler et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Pattern formation in prey-taxis systems

(2009) J. M. Lee et al.   Journal of Biological Dynamics

Finite-time blow-up in a quasilinear system of chemotaxis

(2008) Tomasz Cieślak et al.   NONLINEARITY

A reaction–diffusion system modeling predator–prey with prey-taxis

(2007) Bedr’Eddine Ainseba et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS