On nonlinear dynamics of interacting populations: coupled kink waves in a system of two populations
From MaRDI portal
Publication:716759
DOI10.1016/j.cnsns.2008.07.015zbMath1221.35422OpenAlexW2014504617MaRDI QIDQ716759
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Ivan P. Jordanov
Publication date: 30 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.07.015
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)
Related Items
Box model of migration channels, Population dynamics in presence of state dependent fluctuations, On traveling waves in lattices: the case of Riccati lattices, Traveling waves and statistical distributions connected to systems of interacting populations, On the motion of substance in a channel of a network and human migration, Discrete-time model for a motion of substance in a channel of a network with application to channels of human migration, Statistical distributions connected to motion of substance in a channel of a network, Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer, On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation, Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation, Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications, Direct and inverse relationships between Riccati systems coupled with multiplicative terms, On solitary wave solutions of a class of nonlinear partial differential equations based on the function \(1/ \cosh^n(\alpha x + \beta t)\), On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and \(b\)-equation, Modified method of simplest equation and its application to nonlinear PDEs, Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs, Two-patches prey impulsive diffusion periodic predator-prey model, Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity, Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics, On the motion of substance in a channel and growth of random networks, Qualitative analysis for a reaction-diffusion predator-prey model with disease in the prey species
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcations of traveling wave solutions for a generalized sinh-Gordon equation
- Solitary wave solutions of the modified equal width wave equation
- Applications of the extended tanh method for coupled nonlinear evolution equations
- Three-dimensional gravity waves in a channel of variable depth
- Chaotic pairwise competition
- Entire solutions with merging fronts to reaction-diffusion equations
- Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method
- Influence of adaptation on the nonlinear dynamics of a system of competing populations
- On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
- Dynamics of interacting spatial economies
- Bounds on the heat transport in a horizontal fluid layer with stress-free boundaries
- Multi-Hamiltonian structure of Lotka-Volterra and quantum Volterra models
- Population dispersion and equilibrium infection frequency in a spatial epidemic
- Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations
- Simplest equation method to look for exact solutions of nonlinear differential equations
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Dynamical consequences of adaptation of the growth rates in a system of three competing populations
- Rigorous results in equilibrium statistical mechanics of terrestrial ecosystems
- Breather and soliton wave families for the sine–Gordon equation
- On travelling waves and double-periodic structures in two-dimensional sine - Gordon systems
- Solitary waves in active-dissipative dispersive media
- Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
- New class of running-wave solutions of the (2+1)-dimensional sine-Gordon equation
- On the Volterra-Lotka principle
- An Introduction to Nonlinear Partial Differential Equations, Second Edition
- Adaptation and its impact on the dynamics of a system of three competing populations
- Running wave solutions of the two-dimensional sine-Gordon equation