Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator

DOI10.3934/era.2022099OpenAlexW4226204027WikidataQ113201417 ScholiaQ113201417MaRDI QIDQ2696715

Ailing Xiang, Liangchen Wang

Publication date: 17 April 2023

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2022099

zbMATH Keywords

boundednessstage structureprey-taxisdensity-dependent motilitiesbiological predator-prey model

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Ordinary differential equations (34-XX)

Cites Work

• Unnamed Item
• Global stability of a Lotka--Volterra type predator--prey model with stage structure and time delay
• Global stability of prey-taxis systems
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Traveling wave solutions to the density-suppressed motility model
• Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Stability in a predator-prey model with Crowley-Martin function and stage structure for prey
• Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
• Hopf bifurcation of a predator-prey model with time delay and stage structure for the prey
• Global boundedness and stability of solutions for prey-taxis model with handling and searching predators
• Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source
• Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
• Variations on Lyapunov's stability criterion and periodic prey-predator systems
• Improvement of conditions for boundedness in a chemotaxis consumption system with density-dependent motility
• Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
• Global existence for a kinetic model of pattern formation with density-suppressed motilities
• Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
• On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion
• Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
• Qualitative Analysis of a Prey-Predator Model with Stage Structure for the Predator
• Classical solutions and pattern formation for a volume filling chemotaxis model
• Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
• Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
• Pattern formation in bacterial colonies with density-dependent diffusion
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
• Steady states and pattern formation of the density-suppressed motility model
• Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
• A predator–prey model with taxis mechanisms and stage structure for the predator
• A Stage-structured Predator-prey Model of Beddington-DeAngelis Type

This page was built for publication: Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator