Global boundedness of solutions in a reaction-diffusion system of Beddington-DeAngelis-type predator-prey model with nonlinear prey-taxis and random diffusion

DOI10.1186/s13661-018-0952-8zbMath1499.35327OpenAlexW2804489521WikidataQ115519104 ScholiaQ115519104MaRDI QIDQ2126329

Demou Luo

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-0952-8

zbMATH Keywords

boundednesspredator-preyreaction-diffusion systemBeddington-DeAngelis-type

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Global bifurcation and pattern formation for a reaction-diffusion predator-prey model with prey-taxis and double Beddington-DeAngelis functional responses ⋮ Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy ⋮ Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis

Cites Work

• Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
• Dynamics of a Ivlev-type predator-prey system with constant rate harvesting
• 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
• Persistence in predator-prey systems with ratio-dependent predator influence
• The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
• DYNAMIC COMPLEXITIES IN A LOTKA–VOLTERRA PREDATOR–PREY MODEL CONCERNING IMPULSIVE CONTROL STRATEGY

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