Global existence and asymptotic behavior of solutions to a chemotaxis system with chemicals and prey-predator terms
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Publication:784297
DOI10.3934/dcdsb.2020064zbMath1448.92037OpenAlexW3002761135MaRDI QIDQ784297
Publication date: 3 August 2020
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020064
stabilityglobal-in-time existencetwo speciesLotka-Volterra reaction termsparabolic chemotaxistwo chemicals
Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Cell movement (chemotaxis, etc.) (92C17) Comparison principles in context of PDEs (35B51)
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Cites Work
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- Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion
- On a comparison method to reaction-diffusion systems and its applications to chemotaxis
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
- Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
- Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
- Application of an Adams type inequality to a two-chemical substances chemotaxis system
- Initiation of slime mold aggregation viewed as an instability
- Coexistence and stability of a competition-diffusion system in population dynamics
- On the asymptotic behavior of some population models
- A periodic prey-predator system
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- The evolution of dispersal rates in a heterogeneous time-periodic environment
- Competitive exclusion for a two-species chemotaxis system with two chemicals
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- Boundedness in a chemotaxis system with indirect signal production and generalized logistic source
- On a parabolic-elliptic chemotactic system with non-constant chemotactic sensitivity
- Asymptotic behavior and global existence of solutions to a two-species chemotaxis system with two chemicals
- Competitive exclusion in a two-species chemotaxis model
- Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant
- Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments
- Uniqueness and stability of coexistence states in two species models with/without chemotaxis on bounded heterogeneous environments
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Boundedness vs. blow-up in a chemotaxis system
- Global existence and asymptotic behavior of solutions to a predator-prey chemotaxis system with two chemicals
- Predator–prey model with diffusion and indirect prey-taxis
- Stabilization in a two-species chemotaxis system with a logistic source
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
- Exchange of equilibria in two species Lotka-Volterra competition models
- Elliptic Partial Differential Equations of Second Order
- Asymptotic behaviour of solutions of periodic competition diffusion system
- On the weakly competitive case in a two-species chemotaxis model
- Persistence property in a two-species chemotaxis system with two signals
- Global existence and asymptotic behavior of solutions to a two-species chemotaxis system with two chemicals
- The chemical basis of morphogenesis
- Uniform Persistence, Coexistence, and Extinction in Almost Periodic/Nonautonomous Competition Diffusion Systems
- On a competitive system under chemotactic effects with non-local terms
- On a Two Species Chemotaxis Model with Slow Chemical Diffusion
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources
- Existence of a global coexistence state for periodic competition diffusion systems
- A Chemotaxis System with Logistic Source
- Convergence in almost periodic competition diffusion systems
