Global Solutions near Homogeneous Steady States in a Multidimensional Population Model with Both Predator- and Prey-Taxis
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Publication:5139105
DOI10.1137/20M1344536zbMath1458.35222arXiv2004.04515WikidataQ115525530 ScholiaQ115525530MaRDI QIDQ5139105
Publication date: 7 December 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.04515
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)
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Cites Work
- Unnamed Item
- Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
- Analysis of kinetic and macroscopic models of pursuit-evasion dynamics
- Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
- Global stability of prey-taxis systems
- Continuous traveling waves for prey-taxis
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Boundedness vs. blow-up in a chemotaxis system
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- A Minimal Model of Pursuit-Evasion in a Predator-Prey System
- Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
- Pattern formation in prey-taxis systems
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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