Nehari's problem and competing species systems
New dimensions in Gompertzian growth.
New results on global exponential stability of almost periodic solutions for a delayed Nicholson blowflies model
This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays, which is defined on the nonnegative function space. Under appropriate conditions, we establish some criteria to ensure that all solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give an example with numerical simulations to illustrate our main results.
Non local reaction-diffusion equations modelling predator-prey coevolution.
In this paper we examine a predator-prey system with a characteristic of the predator subject to mutation. The ultimate equilibrium of the system is found by Maynard-Smith et al. by the so-called ESS (Evolutionary Stable Strategy). Using a system of reaction-diffusion equations with non local terms, we conclude that ESS result for the diffusion coefficient tending to zero, without resorting to any optimization criterion.
Nonautonomous ultraparabolic equations applied to population dynamics.
Non-constant positive steady states for a predator-prey cross-diffusion model with Beddington-DeAngelis functional response.
Nonlinear evolution equations with exponential nonlinearities: conditional symmetries and exact solutions
New Q-conditional symmetries for a class of reaction-diffusion-convection equations with exponential diffusivities are derived. It is shown that the known results for reaction-diffusion equations with exponential diffusivities follow as particular cases from those obtained here but not vice versa. The symmetries obtained are applied to construct exact solutions of the relevant nonlinear equations. An application of exact solutions to solving a boundary-value problem with constant Dirichlet conditions...
Nonstandard numerical integrations of a Lotka-Volterra system.
Nonstandard numerical methods for a class of predator-prey models with predator interference.
Note on the persistent property of a discrete Lotka-Volterra competitive system with delays and feedback controls.
Null controllability and application to data assimilation problem for a linear model of population dynamics
In this paper we study a linear population dynamics model. In this model, the birth process is described by a nonlocal term and the initial distribution is unknown. The aim of this paper is to use a controllability result of the adjoint system for the computation of the density of individuals at some time .
Null controllability of a coupled model in population dynamics
We are concerned with the null controllability of a linear coupled population dynamics system or the so-called prey-predator model with Holling type I functional response of predator wherein both equations are structured in age and space. It is worth mentioning that in our case, the space variable is viewed as the “gene type” of population. The studied system is with two different dispersion coefficients which depend on the gene type variable and degenerate in the boundary. This system will be governed...
Null controllability of a nonlinear population dynamics problem.
Numerical solutions of a fractional predator-prey system.
Numerical study of a descending sphere in a low Reynolds number strongly stratified fluid.
Nutrient-phytoplankton-zooplankton interaction with variable yields
A three dimensional predator-prey-resource model is proposed and analyzed to study the dynamics of the system with resource-dependent yields of the organisms. Our analysis leads to different thresholds in terms of the model parameters acting as conditions under which the organisms associated with the system cannot thrive even in the absence of predation. Local stability of the system is obtained in the absence of one or more of the predators and in the presence of all the predators. Under appropriate...