[PDF] Top 20 Global and local stability analysis in a nonlinear discrete time population model

... the local stability of a positive equilibrium point can be changed from the stable case to an unstable case or vice ...the model is stable at an equilibrium point, to reach its equilibrium point may ... See full document

... the global stability of steady states of the system is an interesting and important issue, because the analysis of global stability is very much useful than the use of only local ... See full document

... The global asymptotic sta- bility of the disease-free equilibrium and the chronic infection equilibrium is established by constructing the suitable Lyapunov ...extended model () to the delayed ...the ... See full document

... It is well known that, compared to the continuous-time systems, the discrete-time ones are more difficult to deal with. Stimulated by the works of Chen and Teng [], Qin, Liu, and Chen [], and Chen ... See full document

... of harvesting or the environment feedback for prey and predator, respectively. We assume that the predator has death rate a. The time lag between the consumption of prey and re- ceiving corresponding increase in ... See full document

... of population dynam- ...by discrete time, which point to, that there are particular time instants at which the basic events in the system can occur, and it is not essential that at these ... See full document

... a population of constant size (assumed to be equal to 1) is divided into three com- partments: susceptible (denoted by S), infected (denoted by I) and recovered (denoted by ...The nonlinear function g(I) ... See full document

... SIR model, the simulation time unit is taken as one ...host population (less than twenty years old) in  is  million ...the population is ...host population is less than twenty, ... See full document

... The organization of this paper is as follows. In the next section, we prove some pre- liminary results for system (). In Section , the main theorem of this paper is stated and proved. In the last section, a brief ... See full document

... of time delay, namely, leakage delay (or forgetting delay), is identified and investigated due to its existence in many real systems such as neural networks, population dynamics and some fuzzy systems [1] ... See full document

... structured population dynamics [15], their efforts should be ...affinis population from a numerical point of view, obtained such long-run behaviors as periodic Oscillation ... See full document

... of discrete epidemic models is motivate by the fact that there oc- cur situations such that constructing discrete epidemic models is more appro- priate approach to understand disease transmission dynamics ... See full document

... article, local and global stabilities of the three mutually interacting species with continuous time delay has been ...if time delay parameter vary for large value the system ...first ... See full document

... the analysis of delayed dynamical systems [–], and especially in proving the global exponential stability of the equilib- ria of mathematical models proposed in neural networks and biology with ... See full document

... robust stability analysis for neural networks of neutral type has been investigated by a few investigators ...of global asymptotic stability for neural networks of neutral type ... See full document

... Switched systems are an important class of hybrid systems. Generally speaking, a switched system is composed of a family of subsystems described by differential or difference equations and a switching rule orchestrating ... See full document

... same time, to the best of our knowledge, the stability theory of nonlinear infinite dimensional discrete inclusions is at early stage of the ...exponential stability conditions for a ... See full document

... almost global stability of an ...a nonlinear switched system implies almost global stability, in the same way as a common Lyapunov function implies global stability for ... See full document

... robust stability problem for linear parameter dependent (LPD) discrete-time system with discrete and distributed time-varying delays and nonlinear uncertainties is ...mixed ... See full document

... 0.001 67.81 63.62 63.70 63.70 Table 1: ROAs in disturbance free case. Table 2: Performance with a disturbance We applied the controllers (29) via a sampler and zero order hold to the continuous-time plant ... See full document