Polynomial set-valued functions
The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.
Population Dynamics of Grayling: Modelling Temperature and Discharge Effects
We propose a matrix population modelling approach in order to describe the dynamics of a grayling (Thymallus thymallus, L. 1758) population living in the Ain river (France). We built a Leslie like model, which integrates the climate changes in terms of temperature and discharge. First, we show how temperature and discharge can be related to life history traits like survival and reproduction. Second, we show how to use the population model to precisely examine the life cycle of grayling : estimated...
Positive and bounded solutions of discrete reaction-diffusion equations.
Positive decreasing solutions of higher-order nonlinear difference equations.
Positive fixed point theorems arising from seeking steady states of neural networks
Biological systems are able to switch their neural systems into inhibitory states and it is therefore important to build mathematical models that can explain such phenomena. If we interpret such inhibitory modes as `positive' or `negative' steady states of neural networks, then we will need to find the corresponding fixed points. This paper shows positive fixed point theorems for a particular class of cellular neural networks whose neuron units are placed at the vertices of a regular polygon. The...
Positive periodic solution for ratio-dependent -species discrete time system
In this paper, sharp a priori estimate of the periodic solutions is obtained for the discrete analogue of the continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modelling the dynamics of the competing preys and one predator having nonoverlapping generations. Based on more precise a priori estimate and the continuation theorem of the coincidence degree, an easily verifiable sufficient criterion of the existence of positive periodic solutions...
Positive periodic solutions of abstract difference equations.
Positive periodic solutions of functional discrete systems and population models.
Positive periodic solutions of neutral logistic difference equations with multiple delays.
Positive periodic solutions of nonlinear first-order functional difference equations.
Positive solution to a singular -Laplacian BVP with sign-changing nonlinearity involving derivative on time scales.
Positive solutions and oscillation of higher order neutral difference equations
Positive solutions for a system of nonlinear boundary-value problems on time scales.
Positive solutions for boundary value problems of second-order functional dynamic equations on time scales.
Positive solutions for multiparameter semipositone discrete boundary value problems via variational method.
Positive solutions for nonlinear difference equations involving the -Laplacian with sign changing nonlinearity.
Positive solutions for singular discrete boundary value problems.
Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations.
Positive solutions of a three-point boundary-value problem on a time scale.
Positive solutions of four-point boundary-value problems for four-order -Laplacian dynamic equations on time scales.