
Previous Article
On a mathematical model arising from competition of Phytoplankton species for a single nutrient with internal storage: steady state analysis
 CPAA Home
 This Issue

Next Article
Stability analysis of inhomogeneous equilibrium for axially and transversely excited nonlinear beam
Global attractors of reactiondiffusion systems modeling food chain populations with delays
1.  Department of Mathematics and Statistics, UNC Wilmington, Wilmington, NC 28403 
2.  Department of mathematics, North Carolina State University, Raleigh, NC27695, United States 
3.  Department of Math and Stat. UNCW, 601 S. College Road, Wilmington NC 28403 
References:
show all references
References:
[1] 
Jing Liu, Xiaodong Liu, Sining Zheng, Yanping Lin. Positive steady state of a food chain system with diffusion. Conference Publications, 2007, 2007 (Special) : 667676. doi: 10.3934/proc.2007.2007.667 
[2] 
Yu Mu, WingCheong Lo. Dynamics of the foodchain population in a polluted environment with impulsive input of toxicant. Discrete and Continuous Dynamical Systems  B, 2021, 26 (8) : 41734190. doi: 10.3934/dcdsb.2020279 
[3] 
Yasuhisa Saito. A global stability result for an Nspecies LotkaVolterra food chain system with distributed time delays. Conference Publications, 2003, 2003 (Special) : 771777. doi: 10.3934/proc.2003.2003.771 
[4] 
Lijuan Wang, Hongling Jiang, Ying Li. Positive steady state solutions of a plantpollinator model with diffusion. Discrete and Continuous Dynamical Systems  B, 2015, 20 (6) : 18051819. doi: 10.3934/dcdsb.2015.20.1805 
[5] 
Samira Boussaïd, Danielle Hilhorst, Thanh Nam Nguyen. Convergence to steady state for the solutions of a nonlocal reactiondiffusion equation. Evolution Equations and Control Theory, 2015, 4 (1) : 3959. doi: 10.3934/eect.2015.4.39 
[6] 
B. Ambrosio, M. A. AzizAlaoui, V. L. E. Phan. Global attractor of complex networks of reactiondiffusion systems of FitzhughNagumo type. Discrete and Continuous Dynamical Systems  B, 2018, 23 (9) : 37873797. doi: 10.3934/dcdsb.2018077 
[7] 
Elvira Barbera, Giancarlo Consolo, Giovanna Valenti. A two or three compartments hyperbolic reactiondiffusion model for the aquatic food chain. Mathematical Biosciences & Engineering, 2015, 12 (3) : 451472. doi: 10.3934/mbe.2015.12.451 
[8] 
ChingShan Chou, YongTao Zhang, Rui Zhao, Qing Nie. Numerical methods for stiff reactiondiffusion systems. Discrete and Continuous Dynamical Systems  B, 2007, 7 (3) : 515525. doi: 10.3934/dcdsb.2007.7.515 
[9] 
Maria Paola Cassinari, Maria Groppi, Claudio Tebaldi. Effects of predation efficiencies on the dynamics of a tritrophic food chain. Mathematical Biosciences & Engineering, 2007, 4 (3) : 431456. doi: 10.3934/mbe.2007.4.431 
[10] 
A. Dall'Acqua. Positive solutions for a class of reactiondiffusion systems. Communications on Pure and Applied Analysis, 2003, 2 (1) : 6576. doi: 10.3934/cpaa.2003.2.65 
[11] 
JiaCheng Zhao, ZhongXin Ma. Global attractor for a partly dissipative reactiondiffusion system with discontinuous nonlinearity. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022103 
[12] 
Xinfu Chen, KingYeung Lam, Yuan Lou. Corrigendum: Dynamics of a reactiondiffusionadvection model for two competing species. Discrete and Continuous Dynamical Systems, 2014, 34 (11) : 49894995. doi: 10.3934/dcds.2014.34.4989 
[13] 
Xinfu Chen, KingYeung Lam, Yuan Lou. Dynamics of a reactiondiffusionadvection model for two competing species. Discrete and Continuous Dynamical Systems, 2012, 32 (11) : 38413859. doi: 10.3934/dcds.2012.32.3841 
[14] 
Boris Andreianov, Halima Labani. Preconditioning operators and $L^\infty$ attractor for a class of reactiondiffusion systems. Communications on Pure and Applied Analysis, 2012, 11 (6) : 21792199. doi: 10.3934/cpaa.2012.11.2179 
[15] 
Wei Wang, Wanbiao Ma. Global dynamics and travelling wave solutions for a class of noncooperative reactiondiffusion systems with nonlocal infections. Discrete and Continuous Dynamical Systems  B, 2018, 23 (8) : 32133235. doi: 10.3934/dcdsb.2018242 
[16] 
Carlos Escudero, Fabricio Macià, Raúl Toral, Juan J. L. Velázquez. Kinetic theory and numerical simulations of twospecies coagulation. Kinetic and Related Models, 2014, 7 (2) : 253290. doi: 10.3934/krm.2014.7.253 
[17] 
Li Ma, Youquan Luo. Dynamics of positive steadystate solutions of a nonlocal dispersal logistic model with nonlocal terms. Discrete and Continuous Dynamical Systems  B, 2020, 25 (7) : 25552582. doi: 10.3934/dcdsb.2020022 
[18] 
Suqing Lin, Zhengyi Lu. Permanence for twospecies LotkaVolterra systems with delays. Mathematical Biosciences & Engineering, 2006, 3 (1) : 137144. doi: 10.3934/mbe.2006.3.137 
[19] 
Guichen Lu, Zhengyi Lu. Permanence for twospecies LotkaVolterra cooperative systems with delays. Mathematical Biosciences & Engineering, 2008, 5 (3) : 477484. doi: 10.3934/mbe.2008.5.477 
[20] 
Theodore Kolokolnikov, Michael J. Ward, Juncheng Wei. The stability of steadystate hotspot patterns for a reactiondiffusion model of urban crime. Discrete and Continuous Dynamical Systems  B, 2014, 19 (5) : 13731410. doi: 10.3934/dcdsb.2014.19.1373 
2020 Impact Factor: 1.916
Tools
Metrics
Other articles
by authors
[Back to Top]