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Journal of Differential Equations, ISSN 0022-0396, 01/2013, Volume 254, Issue 2, pp. 528 - 546
It is well known that the interactions between diffusion and spatial heterogeneity could create very interesting phenomena. In this series of two papers, using... 
Spatial heterogeneity | Co-existence | Stability | Lotka–Volterra competition | Diffusion | Lotka-Volterra competition | MATHEMATICS | Animal behavior | Analysis
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2018, Volume 459, Issue 1, pp. 564 - 576
In this article, we investigate the stability of monotone traveling wave solutions for a diffusive three species competition system. By considering the initial... 
Traveling waves | Lotka–Volterra | Stability | Competition–diffusion system | SPEED | MATHEMATICS | FRONTS | MATHEMATICS, APPLIED | Competition-diffusion system | EQUATIONS | DYNAMICS | Lotka-Volterra | Animal behavior
Journal Article
Theoretical Population Biology, ISSN 0040-5809, 10/2019, Volume 129, pp. 81 - 92
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2018, Volume 490, pp. 803 - 807
In most cases, physicists have studied the migration of biospecies by the use of random walk. In the present article, we apply cellular automaton of traffic... 
Cellular automaton | Traffic model | Prey–predator system | Migration | Lotka–Volterra model | Self-organization | LATTICE HYDRODYNAMIC MODEL | GRADIENT HIGHWAY | PHYSICS, MULTIDISCIPLINARY | MUTUALISM | Lotka-Volterra model | FLOW MODEL | NETWORKS | GAS MODEL | Prey-predator system | DYNAMICS | PHYSICS | Environmental aspects | Ecosystems | Robots | Physicists
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2012, Volume 388, Issue 2, pp. 1107 - 1116
We study the integrability of the Lotka–Volterra type systems with resonances. We prove some sufficient conditions for the integrabilities of the systems and... 
Center problem | Integrability | Lotka–Volterra type system | Saddle value | Lotka-Volterra type system | MATHEMATICS | MATHEMATICS, APPLIED | LINEARIZABILITY
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2002, Volume 274, Issue 2, pp. 667 - 684
In this paper, then-species nonautonomous stage-structured competitive system is constructed and considered. Sufficient conditions for its extinction and... 
Competitive | Lotka–Volterra | Time delays | Stage structure | Nonautonomous | Lotka-Volterra | MATHEMATICS | POPULATION-MODELS | MATHEMATICS, APPLIED | stage structure | competitive | time delays | LOTKA-VOLTERRA SYSTEMS | GLOBAL ATTRACTIVITY | nonautonomous
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 12/2016, Volume 32, pp. 98 - 110
Using the Andronov–Hopf bifurcation theorem and the Poincaré–Bendixson Theorem, we explore robust cyclical possibilities in Kolmogorov–Lotka–Volterra class of... 
Predator–prey | Social networks | Kolmogorov–Lotka–Volterra model | Limit cycles | Andronov–Hopf bifurcation | Andronov-Hopf bifurcation | Predator-prey | Kolmogorov-Lotka-Volterra model | SYSTEM | MATHEMATICS, APPLIED | GROWTH | DYNAMICS | HOPF BIFURCATIONS | LIMIT-CYCLES | Analysis | Nonlinearity | Theorems | Bifurcation theory | Feedback | Cooperation
Journal Article
BioSystems, ISSN 0303-2647, 12/2015, Volume 138, pp. 18 - 24
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 05/2019, Volume 125, pp. 43 - 93
Motivated by the remarkable works of Busse and his collaborators in the 1980s on turbulent convection in a rotating layer, we explore the long-run behavior of... 
Stationary measure | Ergodicity | Turbulence | Support | Stochastic Lotka-Volterra system | Stochastically cyclical oscillation | MATHEMATICS | MATHEMATICS, APPLIED | ELLIPTIC-EQUATIONS
Journal Article
Energy, ISSN 0360-5442, 04/2016, Volume 100, pp. 416 - 424
By using the Lotka-Volterra model, this work examines for the first time the feasibility of using low-carbon energy to reduce fossil fuel consumption in the... 
Energy consumption | Energy use | Predator-prey simulation | Carbon dioxide | Fuel consumption | Fossil fuels | Energy policy | Lotka-Volterra equations
Journal Article
Quality and Quantity: international journal of methodology, ISSN 0033-5177, 10/2017, pp. 1 - 28
textabstractGlobalization and migratory fluxes are increasing the ethnic and racial diversity within many countries. Therefore, describing social dynamics... 
Lotka–Volterra systems | Racial interactions | Logit model | Scenario method | Deterministic modeling
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2002, Volume 271, Issue 1, pp. 124 - 138
In this paper, a two-species competitive model with stage structure is presented and studied. Results on the global extinction and permanence are given, which... 
Competitive | Lotka–Volterra | Time delay | Permanence | Extinction | Stage structure | Lotka-Volterra | MATHEMATICS | POPULATION-MODELS | MATHEMATICS, APPLIED | extinction | stage structure | competitive | time delay | permanence
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 10/2017, Volume 103, pp. 271 - 278
A periodic predator-prey model has been introduced in [5] to study the effect of water level on persistence or extinction of fish populations living in an... 
Stability | Almost periodic solution | Prey-predator model | Lyapunov function | PHYSICS, MULTIDISCIPLINARY | COLORED NOISE | MODEL | PHYSICS, MATHEMATICAL | PATTERN-FORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | LOTKA-VOLTERRA SYSTEM | WATER-LEVEL FLUCTUATIONS | Lakes | Reservoirs
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 360, Issue 1, pp. 235 - 244
In this paper, we discuss the two-group SIR model introduced by Guo, Li and Shuai [H.B. Guo, M.Y. Li, Z. Shuai, Global stability of the endemic equilibrium of... 
Brownian motion | Itô's formula | Stochastic multigroup SIR model | Stochastic asymptotically stable in the large | Lyapunov function | POPULATION | MATHEMATICS, APPLIED | BEHAVIOR | PERSISTENCE | EPIDEMIC MODEL | TIME-DELAY | Ito's formula | STOCHASTIC-MODEL | MATHEMATICS | TRANSMISSION | LOTKA-VOLTERRA MODEL | DISEASE | DYNAMICS
Journal Article
by Bao, XX and Li, WT and Wang, ZC
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, ISSN 1534-0392, 01/2020, Volume 19, Issue 1, pp. 253 - 277
The existence, non-existence and qualitative properties of time periodic pyramidal traveling front solutions for the time periodic Lotka-Volterra... 
EXISTENCE | time-periodic | MATHEMATICS, APPLIED | COMBUSTION | GLOBAL STABILITY | Lotka-Volterra competition-diffusion system | SHAPES | SPEEDS | EQUATIONS | MODEL | CURVED FRONTS | MATHEMATICS | NONLOCAL DISPERSAL | TRAVELING-WAVE SOLUTIONS | uniqueness | pyramidal traveling fronts | stability
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 2009, Volume 10, Issue 4, pp. 2508 - 2520
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2006, Volume 173, Issue 2, pp. 1082 - 1100
By using comparison theorem and constructing suitable Lyapunov functional, some sufficient conditions for the permanence and global asymptotic stability of the... 
Globally asymptotic stability | Lotka–Volterra | Lyapunov functional | Permanence | Nonautonomous | Lotka-Volterra | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | globally asymptotic stability | DELAYS | permanence | ASYMPTOTIC STABILITY | ATTRACTIVITY | nonautonomous
Journal Article