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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2020, Volume 483, Issue 2, p. 123627
The Toda equation, which has applications in many fields, is one of the most important integrable systems. A generalization of the Toda equation is the... 
Hungry Lotka-Volterra system | Kostant-Toda equation | Integrable systems | Hungry Toda equation | Lower Hessenberg matrices
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 12/2018, Volume 458, pp. 47 - 57
We propose Lotka–Volterra type predator-prey equations which include small constant terms. Depending on its sign, the constant may model various things. To see... 
Lotka–Volterra equations | Predator-prey equations | Patchiness | Turing patterns | SYSTEM | STOCKING | PATCHY INVASION | MODEL | Lotka-Volterra equations | PATTERN-FORMATION | SPATIOTEMPORAL COMPLEXITY | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | DYNAMICS | DIFFUSION | STABILITY REGIONS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 05/2017, Volume 262, Issue 9, pp. 4724 - 4770
In this paper, we study the traveling wave solutions and minimal wave speed for a class of non-cooperative reaction–diffusion systems consisting of three... 
Persistence theory | LaSalle's invariance principle | Minimal wave speed | Applications | Three equations | EXISTENCE | PREDATOR-PREY SYSTEMS | EPIDEMIC MODEL | MONOTONICITY | TRAVELING-WAVES | MATHEMATICS | DIFFERENTIAL INFECTIVITY | TRANSMISSION | NONLINEAR INCIDENCE | DYNAMIC-BEHAVIOR | LOTKA-VOLTERRA EQUATIONS | Mortality | Analysis
Journal Article
Journal of Mechanical Design, Transactions of the ASME, ISSN 1050-0472, 06/2018, Volume 140, Issue 6
During the development planning of a new product, designers and entrepreneurs rely on the prediction of product performance to make business investment and... 
product performance | technology evolution | Lotka-Volterra equations | product development planning | technology prediction | technological forecasting | COMPETITION | ENGINEERING, MECHANICAL
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 2011, Volume 277, Issue 1, pp. 1 - 6
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 12/2018, Volume 338, pp. 722 - 732
It is shown that many systems of nonlinear differential equations of interest in various fields are naturally embedded in a new family of differential... 
Ebola virus | Trial equation method | Lotka–Volterra | SIR | Nonlinear system differential equations | MATHEMATICS, APPLIED | Lotka-Volterra
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 07/2017, Volume 263, Issue 1, pp. 687 - 708
We consider the problem where denotes the unit ball in , ( ), , and . We study the existence, multiplicity and uniqueness of radially symmetric bounded... 
k-Hessian operator | Radial solutions | Phase analysis | Lotka–Volterra system | Critical exponents | EXISTENCE | BALL | POSITIVE SOLUTIONS | Lotka-Volterra system | MATHEMATICS | EIGENVALUES | QUADRATIC SYSTEMS | THEOREMS | DIRICHLET PROBLEM | ELLIPTIC-EQUATIONS | OPERATORS | DOMAINS
Journal Article
International Journal of Low Radiation, ISSN 1477-6545, 2016, Volume 10, Issue 3, pp. 222 - 233
The paper presents the concept of balance equation as a result of jostling process between detrimental and beneficial factors due to ionising radiation impact... 
Evolution | Lotka-Volterra | Balance equation | Low dose | Radiation | Predator-prey simulation | Thresholds | Mathematical analysis | Paper | Mathematical models | Lotka-Volterra equations
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 09/2016, Volume 404, pp. 383 - 390
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 323, Issue 2, pp. 938 - 957
In this paper, we consider the evolution of a system composed of two predator–prey deterministic systems described by Lotka–Volterra equations in random... 
Telegraph noise | Predator–prey model | Lotka–Volterra equation | Predator-prey model | Lotka-Volterra equation | MATHEMATICS | predator-prey model | POPULATION | COEXISTENCE | MATHEMATICS, APPLIED | telegraph noise | BEHAVIOR | Analysis | Universities and colleges
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 02/2014, Volume 83, Issue 2, pp. 1 - 1
In this paper, a new n-dimensional homogeneous Lotka-Volterra (HLV) equation, which possesses a Lie symmetry, is derived by the extension from a... 
Algebra | Predator-prey simulation | Integral equations | Mathematical analysis | Lotka-Volterra equations | Dynamical systems | Three dimensional | Symmetry
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2001, Volume 42, Issue 10, pp. 4984 - 4996
A systematic investigation of the skew-symmetric solutions of the three-dimensional Jacobi equations is presented. As a result, three disjoint and... 
CASIMIR INVARIANTS | GENERALIZED HAMILTONIAN-STRUCTURE | ENERGY-MOMENTUM METHOD | BRACKETS | DYNAMICAL-SYSTEMS | STABILITY | POLARIZATION DYNAMICS | LOTKA-VOLTERRA EQUATIONS | MAGNETOHYDRODYNAMICS | PHYSICS, MATHEMATICAL | RELATIVE EQUILIBRIA
Journal Article
REVISTA MATEMATICA IBEROAMERICANA, ISSN 0213-2230, 2019, Volume 35, Issue 5, pp. 1559 - 1582
The aim of this paper is to deal with the k-Hessian counterpart of the Laplace equation involving a nonlinearity studied by Matukuma. Namely, our model is the... 
EXISTENCE | POSITIVE SOLUTIONS | phase analysis | non-autonomous Lotka-Volterra system | MATHEMATICS | EIGENVALUES | singular solution | radial solutions | k-Hessian operator | DIRICHLET PROBLEM | critical exponents | ELLIPTIC-EQUATIONS | intersection number
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 04/2012, Volume 241, Issue 7, pp. 764 - 774
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2009, Volume 40, Issue 6, pp. 2217 - 2240
We deal with a system of Lotka-Volterra competition-diffusion equations on R, which is a competing two species model with diffusion. It is known that the... 
Competition-diffusion | Entire solution | Traveling wave | Lotka-Volterra | traveling wave | EXISTENCE | FRONTS | MATHEMATICS, APPLIED | competition-diffusion | TRAVELING-WAVE SOLUTIONS | STABILITY | entire solution | Predator-prey simulation | Wave propagation | Dynamics | Extinction | Mathematical analysis | Mathematical models | Diffusion | Lotka-Volterra equations
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2011, Volume 33, Issue 3, pp. 1234 - 1245
The molecule solution of an equation related to the lattice Boussinesq equation is derived with the help of determinantal identities. It is shown that this... 
Convergence acceleration algorithm | Lattice Boussinesq equation | Molecule solution | EXTRAPOLATION | MATHEMATICS, APPLIED | molecule solution | lattice Boussinesq equation | TODA MOLECULE | LOTKA-VOLTERRA SYSTEM | convergence acceleration algorithm | LAPLACE | Studies | Lattice theory | Algorithms | Numerical analysis
Journal Article
International Biodeterioration & Biodegradation, ISSN 0964-8305, 11/2016, Volume 115, pp. 49 - 54
Aerobic granulation is a special form of biofilm growth and is the process of microbial immobilization. Selection pressure resulted from sedimentation and... 
Competition | Lotka–Volterra equation | Aerobic granulation | Selective pressure | Modeling | ORGANIC LOADING RATE | ACTIVATED-SLUDGE | STABILITY | Lotka-Volterra equation | GRANULES | ENVIRONMENTAL SCIENCES | BIOTECHNOLOGY & APPLIED MICROBIOLOGY | WASTE-WATER | SELECTION PRESSURE | GROWTH | DYNAMICS | OPTIMIZATION
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 02/2007, Volume 48, Issue 2, pp. 022903 - 022903-11
A new family of skew-symmetric solutions of the Jacobi partial differential equations for finite-dimensional Poisson systems is characterized and analyzed.... 
CASIMIR INVARIANTS | GENERALIZED HAMILTONIAN STRUCTURES | BRACKETS | QUADRATIC POISSON STRUCTURES | IDENTITIES | DYNAMICAL-SYSTEMS | CONSTRUCTION | LOTKA-VOLTERRA EQUATIONS | MAGNETOHYDRODYNAMICS | FORMULATION | PHYSICS, MATHEMATICAL
Journal Article
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