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L. Shangerganesh, N.
Barani Balan & K. Balachandran. (2013) Weak-renormalized solutions for predator–prey system. Applicable Analysis 92:3, pages 441-459.
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Yaying Dong, Ge Gao & Shanbing Li. (2024) Coexistence states for a prey-predator model with cross-diffusion. Journal of Mathematical Analysis and Applications 535:1, pages 128106.
Crossref
Crossref
Lu Cui & Shanbing Li. (2024) Coexistence states in a cross-diffusion system of a competition model. Nonlinear Analysis: Real World Applications 77, pages 104069.
Crossref
Crossref
Shanbing Li. (2023) Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis. SIAM Journal on Mathematical Analysis 55:6, pages 6342-6374.
Crossref
Crossref
Jumpei Inoue, Kousuke Kuto & Homare Sato. (2023) Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model. Journal of Differential Equations 373, pages 48-107.
Crossref
Crossref
Qing Li & Qian Xu. (2023) On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion. Nonlinear Analysis: Real World Applications 72, pages 103865.
Crossref
Crossref
Kousuke Kuto & Kazuhiro Oeda. (2021) Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 152:4, pages 965-988.
Crossref
Crossref
Nishith Mohan. (2021) Coexistence states of a Lotka Volterra cooperative system with cross diffusion. Partial Differential Equations in Applied Mathematics 4, pages 100072.
Crossref
Crossref
Kousuke Kuto. (2021) Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 38:6, pages 1943-1959.
Crossref
Crossref
Hao Zhou & Yu-Xia Wang. (2021) Steady-State Problem of an S-K-T Competition Model with Spatially Degenerate Coefficients. International Journal of Bifurcation and Chaos 31:11, pages 2150165.
Crossref
Crossref
Changfeng Liu & Shangjiang Guo. (2021) Steady states of Lotka-Volterra competition models with nonlinear cross-diffusion. Journal of Differential Equations 292, pages 247-286.
Crossref
Crossref
Ningning Zhu. (2021) Existence of steady-state solutions for a class of competing systems with cross-diffusion and self-diffusion. Electronic Journal of Qualitative Theory of Differential Equations:2, pages 1-10.
Crossref
Crossref
Qing Li & Qian Xu. (2020) The Stability of Nontrivial Positive Steady States for the SKT Model with Large Cross Diffusion. Acta Mathematicae Applicatae Sinica, English Series 36:3, pages 657-669.
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Jingmei Liu & Aixia Qian. (2019) Fixed Point Theory and Positive Solutions for a Ratio-Dependent Elliptic System. Journal of Function Spaces 2019, pages 1-9.
Crossref
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Kazuhiro Oeda & Kousuke Kuto. (2018) Positive steady states for a prey–predator model with population flux by attractive transition. Nonlinear Analysis: Real World Applications 44, pages 589-615.
Crossref
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Hailong Yuan & Jianhua Wu. (2018) Positive solutions of a predator-prey model with cross-diffusion. Applied Mathematics and Computation 331, pages 232-250.
Crossref
Crossref
Yaying Dong & Shanbing Li. (2017) Coexistence states for a Lotka‐Volterra symbiotic system with cross‐diffusion. Mathematical Methods in the Applied Sciences 41:1, pages 353-370.
Crossref
Crossref
Jing Ge, Zhigui Lin & Qunying Zhang. (2017) Influence of cross-diffusion on the fecally-orally epidemic model with spatial heterogeneity. Advances in Difference Equations 2017:1.
Crossref
Crossref
Zhan-Ping Ma & Yu-Xia Wang. (2017) Bifurcation of positive solutions for a three-species food chain model with diffusion. Computers & Mathematics with Applications 74:12, pages 3271-3282.
Crossref
Crossref
Shanbing Li, Sanyang Liu, Jianhua Wu & Yaying Dong. (2017) Positive solutions for Lotka–Volterra competition system with large cross-diffusion in a spatially heterogeneous environment. Nonlinear Analysis: Real World Applications 36, pages 1-19.
Crossref
Crossref
Kazuhiro Oeda. (2017) Steady-state solutions of a diffusive prey-predator model with finitely many protection zones. SUT Journal of Mathematics 53:1.
Crossref
Crossref
Chenglin Li. (2017) Existence of positive solution for a cross-diffusion predator-prey system with Holling type-II functional response. Chaos, Solitons & Fractals 99, pages 226-232.
Crossref
Crossref
Jun Zhou. (2016) Qualitative analysis of a producer–scrounger model. Journal of Mathematical Analysis and Applications 440:1, pages 33-47.
Crossref
Crossref
Kousuke Kuto & Tohru Tsujikawa. (2015) Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection. Journal of Differential Equations 258:5, pages 1801-1858.
Crossref
Crossref
Kousuke Kuto. (2015) Limiting Structure of Shrinking Solutions to the Stationary Shigesada--Kawasaki--Teramoto Model with Large Cross-Diffusion. SIAM Journal on Mathematical Analysis 47:5, pages 3993-4024.
Crossref
Crossref
Meihua Wei, Jinyong Chang & Lan Qi. (2014) Existence and stability of positive steady-state solutions for a Lotka-Volterrasystem with intraspecific competition. Advances in Difference Equations 2014:1.
Crossref
Crossref
Lingeshwaran Shangerganesh, Natesan Barani Balan & Krishnan Balachandran. (2014) Weak-renormalized solutions for three species competition model in ecology. International Journal of Biomathematics 07:06, pages 1450062.
Crossref
Crossref
Jun Zhou. (2013) Positive solutions for a modified Leslie–Gower prey–predator model with Crowley–Martin functional responses. Nonlinear Differential Equations and Applications NoDEA 21:5, pages 621-661.
Crossref
Crossref
Zhou Jun & Chan-Gyun Kim. (2013) Positive Solutions for a Lotka–Volterra Prey–Predator Model with Cross-Diffusion of Fractional Type. Results in Mathematics 65:3-4, pages 293-320.
Crossref
Crossref
Jun Zhou & Chan-Gyun Kim. (2013) Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response. Science China Mathematics 57:5, pages 991-1010.
Crossref
Crossref
Jun Zhou, Chan-Gyun Kim & Junping Shi. (2014) Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion. Discrete & Continuous Dynamical Systems - A 34:9, pages 3875-3899.
Crossref
Crossref
Jun Zhou. (2013) Positive steady state solutions of a Leslie–Gower predator–prey model with Holling type II functional response and density-dependent diffusion. Nonlinear Analysis: Theory, Methods & Applications 82, pages 47-65.
Crossref
Crossref
Yu-Xia Wang & Wan-Tong Li. (2013) Effect of cross-diffusion on the stationary problem of a diffusive competition model with a protection zone. Nonlinear Analysis: Real World Applications 14:1, pages 224-245.
Crossref
Crossref
Yoshio Yamada & Kousuke Kuto. (2012) On limit systems for some population models with cross-diffusion. Discrete and Continuous Dynamical Systems - Series B 17:8, pages 2745-2769.
Crossref
Crossref