[PDF] Top 20 Existence of Periodic Solutions in a Discrete Predator Prey System with Beddington DeAngelis Functional Responses

... the prey, yt and zt are the densities of the predators, respectively, and r, a, A, d, e, D, E, K, b, and B are positive ...one predator consumes prey according to the Holling II functional ... See full document

... the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional ... See full document

... the existence of traveling wave solutions in a reaction-diffusion pre- dator-prey system with Beddington-DeAngelis functional response and a discrete time ...the ... See full document

... In order for a stochastic differential equation to have a global solution for any given initial condition, it is generally necessary to data the coefficients of the eq- uation are generally required to satisfy the liner ... See full document

... and functional differential equations, the existence of almost periodic solutions of almost periodic systems has been studied by many ...the existence of periodic and ... See full document

... and existence of the local Hopf bifurcation of system ...bifurcated periodic solutions are de- termined by using the normal form method and center manifold ... See full document

... the system 1.1 with the prey-dependent functional response ...Leslie-Gower functional response ...time-dependent solutions and the global stability of the positive constant steady state ... See full document

... of predator-prey systems is one of the most popular areas in applied mathematics and theoretical ...of predator- prey models have been proposed and investigated extensively since the ... See full document

... between predator and prey plays an important role due to its universal ...significant functional responses in or- der to model various different ...the functional responses are ... See full document

... III functional response, ...the predator, m > 0 is the half-saturation constant. Preda- tor-prey systems with Holling type functional response have been investigated exten- sively, for ... See full document

... to prey x (respectively, to the predator ...the existence and global attractivity of positive periodic solutions of system ...and existence of a unique globally attractive ... See full document

... the existence of periodic solutions of a ratio-dependent predator-prey diffusion system with Michaelis-Menten functional responses and time delays in a two-patch ... See full document

... the existence of positive periodic solutions of a neutral predator-prey system with monotone functional ...the existence of periodic ... See full document

... and discrete analysis is also significant for this ...the existence of periodic solutions of population models modeled by ordinary differential equations and their dis- crete analogues in the ... See full document

... years, predator-prey systems which model some biological phenomena and relationship between predators and preys in the real world play a crucial role in math- ...multiple periodic solutions ... See full document

... and discrete analysis is also ...the existence of periodic solutions of population models modelled by ordinary differential equations and their discrete analogues in form of difference ... See full document

... a discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version of the continuous ... See full document

... For numerical simulation of Model-4, we consider the parametric values as = 0.45, = 100, = 0.35, = 0.05, = 0.3, = 0.07, = 0.001, = 10 = 0.6.With this data, we simulate the Model-4(equation (4)) and the population of a ... See full document

... the predator-prey systems without ...some predator-prey sys- tems under constant rate ...the existence of positive periodic solutions for delayed ... See full document

... the existence of positive periodic solutions of the prey-predator model has been widely studied ...of predator-prey systems is an interest- ing mathematical problem and ... See full document