Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions
DOI10.1051/MMNP/2021017zbMath1471.35130OpenAlexW3141197899WikidataQ115554373 ScholiaQ115554373MaRDI QIDQ5001068
Yunfeng Jia, Pan Xue, Cuiping Ren, Xingjun Li
Publication date: 16 July 2021
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2021017
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A predator-prey model with a Holling type I functional response including a predator mutual interference
- A sufficient and necessary condition for the existence of positive solutions for a prey-predator system with Ivlev-type functional response
- Positive solutions for a predator-prey interaction model with Holling-type functional response and diffusion
- A derivation of Holling's type I, II and III functional responses in predator-prey systems
- Non-constant positive steady states of a prey-predator system with cross-diffusions
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- Large amplitude stationary solutions to a chemotaxis system
- Two-parameter bifurcation in a predator-prey system of Ivlev type
- On a limiting system in the Lotka-Volterra competition with cross-diffusion.
- Elliptic partial differential equations of second order
- Steady state in a cross-diffusion predator-prey model with the Beddington-DeAngelis functional response
- Complete mathematical analysis of predator-prey models with linear prey growth and Bedding\-ton-DeAngelis functional response
- Study of LG-Holling type III predator-prey model with disease in predator
- Diffusion, self-diffusion and cross-diffusion
- Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
- Positive solutions of a Lotka-Volterra competition model with cross-diffusion
- A qualitative study on general Gause-type predator-prey models with constant diffusion rates
- Effect of cross-diffusion on the stationary problem of a prey-predator model with a protection zone
- Effects of the self- and cross-diffusion on positive steady states for a generalized predator-prey system
- Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
This page was built for publication: Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions
