Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
From MaRDI portal
Publication:289387
DOI10.1016/J.AML.2015.04.017zbMath1381.35188OpenAlexW262072351WikidataQ115598016 ScholiaQ115598016MaRDI QIDQ289387
Publication date: 30 May 2016
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.04.017
Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Fundamental solutions to PDEs (35A08) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (65)
Global dynamics of a Lotka-Volterra type prey–predator model with diffusion and predator-taxis ⋮ Global boundedness of solutions in a reaction-diffusion system of Beddington-DeAngelis-type predator-prey model with nonlinear prey-taxis and random diffusion ⋮ Spatially nonhomogeneous periodic patterns in a delayed predator-prey model with predator-taxis diffusion ⋮ Global bifurcation for a reaction-diffusion predator-prey model with Holling-II functional response and prey-taxis ⋮ A free boundary problem for a predator-prey model with nonlinear prey-taxis. ⋮ A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing ⋮ Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis ⋮ Boundedness and asymptotic behavior in a predator-prey model with indirect pursuit-evasion interaction ⋮ Positive steady-state solutions for predator-prey systems with prey-taxis and Dirichlet conditions ⋮ A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal ⋮ Dynamics of a predator–prey system with nonlinear prey-taxis ⋮ Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension ⋮ On the fitness of predators with prey-induced dispersal in a habitat with spatial heterogeneity ⋮ Global solutions near homogeneous steady states in a fully cross-diffusive predator-prey system with density-dependent motion ⋮ Bifurcation analysis of a predator-prey model with memory-based diffusion ⋮ Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis ⋮ Dynamics for a three-species predator-prey model with density-dependent motilities ⋮ Predation-induced dispersal toward fitness for predator invasion in predator–prey models ⋮ Global boundedness for a food chain model with general logistic source ⋮ Global Solvability and Stability of an Alarm-Taxis System ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ The vanishing viscosity limit on a model of Kareiva-Odell type in 2D ⋮ On a quasilinear fully parabolic predator-prey model with indirect pursuit-evasion interaction ⋮ Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity ⋮ Boundedness and stabilization in a predator-prey model with prey-taxis and disease in predator species ⋮ Global boundedness of a three-species predator-prey model with prey-taxis and competition ⋮ Nonconstant steady states in a predator-prey system with density-dependent motility ⋮ A predator–prey model with taxis mechanisms and stage structure for the predator ⋮ Global dynamics of an indirect prey-taxis system with an anti-predation mechanism ⋮ Dynamics in two-predator and one-prey models with signal-dependent motility ⋮ Global solution of a diffusive predator-prey model with prey-taxis ⋮ Global solution for a general cross-diffusion two-competitive-predator and one-prey system with predator-taxis ⋮ Predator-prey models with prey-dependent diffusion on predators in spatially heterogeneous habitat ⋮ Global solutions and uniform boundedness of attractive/repulsive LV competition systems ⋮ Large time behavior in a predator-prey system with indirect pursuit-evasion interaction ⋮ Unnamed Item ⋮ Global Solutions near Homogeneous Steady States in a Multidimensional Population Model with Both Predator- and Prey-Taxis ⋮ Local dynamics and coexistence of predator-prey model with directional dispersal of predator ⋮ A quasilinear predator-prey model with indirect prey-taxis ⋮ Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis ⋮ Global existence of classical solutions to the cross-diffusion three-species model with prey-taxis ⋮ Nonconstant positive steady states and pattern formation of 1D prey-taxis systems ⋮ Spatio-temporal dynamics near the steady state of a planktonic system ⋮ Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation ⋮ Critical mass of lymphocytes for the coexistence in a chemotaxis system modeling tumor-immune cell interactions ⋮ Effect of prey-taxis on predator's invasion in a spatially heterogeneous environment ⋮ Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion ⋮ Global boundedness and stability of solutions for prey-taxis model with handling and searching predators ⋮ Global solvability of prey-predator models with indirect predator-taxis ⋮ Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis ⋮ Global stability of prey-taxis systems ⋮ Unnamed Item ⋮ Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis ⋮ Stability and Bifurcation in a Predator–Prey System with Prey-Taxis ⋮ Global boundedness of a diffusive prey-predator model with indirect prey-taxis and predator-taxis ⋮ Global existence and convergence to steady states for a predator-prey model with both predator- and prey-taxis ⋮ Global generalized solutions to a three species predator-prey model with prey-taxis ⋮ The dynamics of a predator-prey model with diffusion and indirect prey-taxis ⋮ Dynamics and pattern formation in a cross-diffusion model with stage structure for predators ⋮ Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis ⋮ On global bifurcation for a cross-diffusion predator-prey system with prey-taxis ⋮ Global existence and stabilization in a diffusive predator-prey model with population flux by attractive transition ⋮ Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis ⋮ Global existence and boundedness of solutions in a Lotka-Volterra reaction-diffusion system of predator-prey model with nonlinear prey-taxis ⋮ Predator invasion in predator-prey model with prey-taxis in spatially heterogeneous environment
Cites Work
- Unnamed Item
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A reaction-diffusion system modeling predator-prey with prey-taxis
- A qualitative study on general Gause-type predator-prey models with non-monotonic functional response
- A qualitative study on general Gause-type predator-prey models with constant diffusion rates
- Steady states of a predator-prey model with prey-taxis
This page was built for publication: Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
