[PDF] Top 20 Existence of Periodic Solutions for a Delayed Ratio Dependent Three Species Predator Prey Diffusion System on Time Scales

... a time scale T is periodic if there exists p > 0 such that if t ∈ T, then t ± p ∈ ...the time scale. Definition 2.6 see 14. Let T / R be a periodic time scale with period ...is ... See full document

... on time scales. Sufficient criteria are established for the existence of periodic solutions for such equations, which generalize many known results for differential equations when the ... See full document

... of time-scale calculus is initiated by Stephan Hilger ...the existence of periodic solutions of population models modeled by ordinary differential equations and their dis- crete analogues in ... See full document

... of Time Scales Calculus is initiated by Stephan ...the existence of periodic solutions of population models modelled by ordinary differential equations and their discrete analogues in ... See full document

... the existence of periodic solutions for some population models on time scales under the assumption of periodicity of the parameters by using Mawhin’s coincidence degree theory (see ... See full document

... Periodic solutions bifurcating from Hopf bifurcations in delayed differential equations are generally ...nonconstant periodic solutions which are obtained through local Hopf bifurcations ... See full document

... a prey-predator system with discrete time delay incorporating ratio-dependent III functional ...proposed system are determined and behavior of the system is ... See full document

... semi-ratio-dependent predator-prey system with Holling type IV functional response and time delay is ...nonautonomous system is permanent and globally attractive under ... See full document

... A ratio-dependent diffusion predator-prey system with free boundary is investigated to understand the impact of free boundary on spreading-vanishing dichotomy and a long time ... 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

... on prey predator models, see ...Volterra predator prey equations predicted neutral cycles with a period determined by parameters and amplitude set by initial ...of prey predator ... See full document

... for predator in order to eradi- cate both target pests, protect non-target pest (or harmless insect) from extinction and drive target pest to extinction, or control target pests at acceptably low level to prevent ... See full document

... and existence of Hopf bifurcation In this section, we analyze the local asymptotic stability of the positive equilibrium and the existence of the Hopf bifurcation occurring at the positive ... See full document

... Leslie-Gower predator-prey model with predator mutual interference and shows that the unique positive equilibrium of the system is globally stable unconditionally by constructing a suitable ... See full document

... web system with ratio-dependent functional response is proposed and ...coupled system of first order non-linear difference ...the system are obtained. Time plots and the phase ... See full document

... We would like to mention that one of the most difficult problems for research on Turing– Hopf bifurcation is how to obtain the existence of Turing–Hopf bifurcation. In the previ- ous research, scholars generally ... See full document

... same time, the well-known central limit theorem pointed out that the error term obeys a normal ...short time, can use σ i B t ɺ i ( ) replace this error term, where σ i is the ... See full document

... by predator-prey models have long been the topic of research interest of many biomathematical scholars, and there have been vast studies to investigate the dynamics of predator-prey models, ... See full document

... The system is subject to no-flux boundary conditions, and it means that the ecology system is ...the existence of Turing pattern and nonexistence of nonconstant steady state solutions by the ... See full document

... In fact, the existence and uniqueness of K are not evident if (2.3) holds. But this will be clear from the stability analysis in Sect. 3. More precisely, we could obtain the existence of equilibria by the ... See full document