[PDF] Top 20 Stability and Bifurcation in a Stage-structured Predator-prey Model with Allee Effect and Time Delay

... each stage. Therefore, stage structure population models are more reasonable than other models and exhibits real world ...the predator- prey system with stage structure, see [33]-[39] ... See full document

... The predator–prey model is one of the basic models between different species in nature which has been widely researched ...delayed predator–prey model with stage struc- ... See full document

... local stability of equilibria and the existence of Hopf bifurcation at the positive equilibrium taking the time delay as a bifurcation ...Hopf bifurcation and the ... See full document

... diffusive predator-prey system where the growth of prey population is governed by Allee effect and the predator population consumes the prey according to Beddington-DeAngelis type ... See full document

... a time delay predator-prey model with Holling type-IV functional response and stage-structured for the ...this model under the influence of gestation delay of ... 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

... important Predator – Prey models with the functional response is the Holling type – IV, originally due to Holling which has been extensively studies in many articles [4-6, ...of predator to its ... See full document

... immature stage and mature ...on stage structure ...of prey predator system with stage structure [3, 5, 6, 7, 8, 9, 10, ...dynamic effect of stage structure and maturation ... See full document

... local stability and the existence of Hopf bifurcation with respect to both delays are ...Hopf bifurcation and the stability of bifurcating period ... See full document

... incorporate stage structure for both the predator and the prey into system ...of time delay due to the gestation of the predator on the global dynamics of the ...following ... See full document

... Kolmogorov model is a general continuous time predator–prey model, consisting of a system of first order differential equations ...Lotka–Volterra model [47], Gauss-type models ... See full document

... studied stability and Neimark–Sacker bifurcation of a discrete-time predator–prey ...22–29]. Bifurcation and stability analysis are examined in detail in [20, 22–24, ... See full document

... A stage-structured predator-prey model with Allee effect on predator species and harvesting on prey species is introduced and ...local stability of ... See full document

... orbital stability of a periodic orbit and obtain the global stability of the positive equilibrium for the general ...the time delay. In general, delay differential equations exhibit much ... See full document

... over time and ...the predator-prey model has become one of the most important research topics in mathematical ecology for nearly a ...same time, mathematicians used the theory of ... See full document

... a predator-prey model with a refuge and an open habitat for ...The Allee effect in a prey refuge and the environment carrying capacity of prey are ...of prey and ... See full document

... this model has a unique global positive solution starting from the positive initial value by the comparison theorem of stochastic differential ...the model by using the generalized exponential martin- gale ... See full document

... the model of the pred- ator prey model with Allee effect has attracted the attention of many scholars and researchers because of its complexity and the wide ...The effect of ... See full document

... of Allee effect on the stability analysis of equilibrium ...the Allee effect may have a stabilizing or a destabilizing effects on population ... See full document

... a bifurcation parameter and fix δ = 2 and η = ...forward bifurcation at b = 1.25 with the trivial equilibrium losing its stability and a stable predator-extinction equilibrium ...saddle-node ... See full document