[PDF] Top 20 Stability and bifurcation analysis for a single species discrete model with stage structure

... a single-species discrete model with the Ricker function as the birth rate and only the mature population ...continuous model corresponding to model (3) is globally ... See full document

... with stage structure is investigated. The existence and stability of equilibria are ...Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by using the ... See full document

... Conclusion In this paper, we considered a three-stage-structured prey-predator system with discrete and continuous time delays and analyzed the stability of the boundary and positive equ[r] ... See full document

... many species whose individuals have a life history that can be di- vided into two stages: immature and ...The stage structure reflects the species’ ac- tivity ability and the difference about ... See full document

... interacting species and have received much attention of applied mathematicians and ecol- ...The stability and existence of equilibrium state, the permanence of a system, the Hopf bifurcation and the ... See full document

... global stability of the boundary equilibrium and the global attractivity of the positive equilibrium of the stage-structured ...system. Stage-structured models have received great attention in recent ... See full document

... in species, popu- lations, and how these groups interact with the ...how species population size changes over time and ...predator-prey model has become one of the most important research topics in ... See full document

... In bifurcation problems, Buchanan [4] has studied Turing instability in a pioneer/climax population interaction ...the model undergoes a Turing bifurcation, and he show that a Turing ... See full document

... a single-species discrete population model with stage structure and birth ...this model is chaotic in the sense of Liz and ... See full document

... Abstract—A single species stage structure model with density dependent birth rate and non-selective harvesting in a partial closure is proposed and studied in this ...global ... See full document

... This paper is organized as follows. In Section , we discuss the existence and stability of the positive fixed points for the system (.). In Section , we show that there exist some values of parameters such that ... See full document

... natural species, for example, plants [15], insects [16], marine invertebrates [17], birds and mammals ...the stability analysis of population ...local stability of a positive fixed point may be ... See full document

... In modeling the predator-prey systems, a key factor in consideration is the Allee effect. The Allee effect named after Allee[11], has significant contribution to population dynamics. The Allee effect is a biological ... See full document

... Numerical bifurcation studies for model (2) were presented along with physiological ...some bifurcation structures such as fold bifurcations for equilibria and limit cycle, Hopf bifurcations, cusp ... See full document

... SIR model is one of the simplest and most fundamental of all epidemiological models and in these models with a single epidemic, births and deaths are ignored, and so, only two transitions are possible: ... See full document

... In Sect. 2, we added the Allee effect to system (6.1), and this led to system (2.1). Theo- rem 2.1 also shows that system (2.1) admits a unique positive equilibrium x ∗∗ = 1, which is globally stable. Hence, at first ... See full document

... cycle model with time-delayed feedback is ...cycle model and propose a new model. Secondly, the linear stability of the model and the local Hopf bifurcation are studied and we ... See full document

... [r] ... See full document

... linear stability of the model and the local Hopf bifurcation are studied and the conditions for the stability and the existence of Hopf bifurcation at the equilibrium are derived in ... See full document

... Recently, discrete-time epidemic models have been used to study ...a discrete-time approach are ...the discrete-time models can provide natural simulators for the con- tinuous ...continuous-time ... See full document