[PDF] Top 20 Fractional Order Delayed Prey-Predator Model with Stage Structure

... these predator-prey, there may be few works available on multi species interaction by considering FDE with time ...dependent predator-prey with stage structure while the global ... See full document

... the predator-prey, competitive, and cooperative ...the stage structure of a species has been considered very ...the stage structure of being immature and ...the stage ... See full document

... mathematical model for predator–prey was developed independently by Lotka [1] and Volterra [2], the predator–prey models in ecology have received great atten- tion ...the ... See full document

... Mathematical model is formu- ...uncontrolled delayed fractional-order predator–prey model incorporating a prey refuge is analyzed, and a pe- riodic pulse delay ... See full document

... Abstract. In this article, a delayed reaction-diffusion predator-prey model with stage structure is constructed. The boundedness, existence and uniqueness of the model is ... See full document

... The stage structure reflects the species’ ac- tivity ability and the difference about resistance to natural enemies in different growth ...the predator–prey model with this ...with ... See full document

... in order to reflect the dynamics of the systems depending on the past history of the sys- ...a delayed continuous-time growth model with a special mound-shaped production ...a delayed-energy- ... See full document

... in predator-prey system [25]-[31], since the current birth rate of the predator is related to its consumption of prey throughout the past ...a delayed predator-prey ... See full document

... in order to achieve generality is the time ...of prey by a predator throughout its past history governs the present birth rate of the ...mature predator into system ... See full document

... of predator-prey system is a natural phenomenon and represents the division of a population into immature and mature ...view. Stage-structured models have already received much attention by many ... See full document

... the prey num- bers ...to prey change), there is often competition among the predators and the per capita rate of predation depends on the numbers of both preys and predators, most likely and simply on their ... See full document

... the prey-nullclines and the red lines are the ...of predator-nullcline for four different values of ...(the prey nullcline is below the predator nullcline), suggesting there is no equilibrium ... See full document

... Recently, the work in 18–20 studied the existence, uniform boundedness, and uniform convergence of global solutions for the Lotka-Volterra cross-diffusion models without stage-structure in the case that the ... See full document

... the prey and the predator, ...the prey, axy +x is the Holling II function response, b denotes the death rate of the predator, p ∈ (, ), h > , q > , τ ≥ ... See full document

... of prey-predator in nature is complex and comprises both interspecies and external environmental ...basic model can be constructed and then developed or modified to approach the real ... See full document

... nonautonomous predator-prey sys- tem with Beddington-DeAngelis functional responses, where populations have nonoverlap- ping ...the model are ... See full document

... 21 S.-A. Shim, “Uniform boundedness and convergence of solutions to the systems with cross-diffusions dominated by self-di ff usions,” Nonlinear Analysis: Real World Applications, vol. 4, no. 1, pp. 65–86, 2003. 22 Y. S. ... See full document

... In 1931, Allee [13] found that the population growth rate is negative or decreasing func- tion at low population size, which is now called as the Allee effect. The Allee effect can be caused by a variety of biological ... See full document

... the prey population density and vx, y, t represents the predator population density, ϕx, φx denote initial conditions of population system; the nonlinear equation of this type has wide applications in the ... See full document

... We study a cubic predator-prey system with stage structure for the prey. This system is a generalization of the two-species Lotka-Volterra predator-prey model. ... See full document