[PDF] Top 20 Dynamics of Almost Periodic Mutualism Model with Time Delays

... be almost periodic [6-12] since there is no a priori reason to expect the existence of periodic ...factors, almost periodicity is sometimes more realistic and more general than ... See full document

... population dynamics with harvesting terms is becoming a very important subject in mathematical bio- economics ...multiple periodic solutions of a delayed Lotka- Volterra competition systems with harvesting ... See full document

... population dynamics with harvesting is becoming a very important subject in mathematical ...delayed model of plankton allelopathy with harvesting is generally described as ... See full document

... population dynamics model such as ...population model, the Gilpin–Ayala population model is important and essential due to its wide applications and ...population model is changed into ... See full document

... point, periodic and almost periodic solutions of SICNNs with time-varying delays in the ...without time delay; these terms are vari- ously known as ‘forgetting’ or leakage terms ... See full document

... ecological model mainly describes the dynamical behavior of the ...continuous time delay of two and three species applying new ...the dynamics and control of biological systems with time ... See full document

... with time delay in the leakage (or ‘forgetting’) term [–]. Such time delays in the leakage terms are diffi- cult to handle and have been rarely considered in the ...of time delays, ... See full document

... In the last few years, mathematicians and ecologists have been actively investigating the dispersal of populations, a ubiquitous phenomenon in population dynamics. Levin (1976) showed that both spatial dispersal ... See full document

... of dynamics, stable equilibrium solution can enter into instability regime to bifurcate into oscillation mode periodically via super-critical Hopf/sub-critical Hopf bifurcation ...linearization model near ... See full document

... Two species cohabit a common habitat and each species enhances the average growth rate of the other, this type of ecological interaction is known as facultative mutualism [8]. In [6], the author has studied the ... See full document

... blowflies model with time delays on time scales have been studied, namely, existence and nonexistence of positive periodic solutions in shifts δ ± on time ... See full document

... positive almost periodic solution. The solutions of this model converge exponentially to a positive almost periodic ...of almost periodic solution of the single species or ... See full document

... and time delays [4, 8, 9], and that the birth of many species is not continuous but occurs at fixed time intervals (some wild animals have seasonal births), in the long run; the birth of these ... See full document

... at time t, β is the maximum per capita daily egg production, /λ is the size at which the blowfly pop- ulation reproduces at its maximum rate, α is the per capita daily adult death rate, and τ is the generation ... See full document

... In order to explain the complex dynamic behavior of genetic regulatory systems, the au- thors of [] presented a model of ordinary differential system for the transcript factors (TFs). Furthermore, taking account ... See full document

... uation theorem and constructing an appropriate Lyapunov functional, Xu and Shao [4] discussed the periodic solution and global attractivity of (1.4). Considering the different effect of time delay on the ... See full document

... On the other hand, there are some other perturbations in the real world such as fires and floods that are not suit- able to be considered continually. These perturbations bring sudden changes to the system. Systems with ... See full document

... the periodic behavior of solutions [–]. To consider periodic environmental factors acting on a population model, it is natural to study the model subject to periodic ...the ... See full document

... By calculation, these parameters of (6.2) meet the conditions of Theorem 3.1 and Corol- lary 5.1. Using MATLAB, by simulation, time series diagrams of (6.2) are shown in Fig- ure 2. Figure 2 shows that (6.2) is ... See full document

... This paper concerns the stochastic and time-lagged mutu- alism model. We know that permanence is a very important and interesting subject in mathematical ecology, which mean- s that a population system will ... See full document