[PDF] Top 20 Existence of positive periodic solutions for delayed predator prey patch systems with stocking

... Predator-prey systems have been studied ...the predator-prey systems without ...some predator-prey sys- tems under constant rate ...the existence of ... See full document

... is periodic if there exists p > 0 such that if t ∈ T, then t ± p ∈ ...smallest positive p is called the period of the time ...a periodic time scale with period ...is periodic with period ω ... See full document

... of predator- prey systems in mathematical ecology has a long history starting with the pioneering work of Lotka and Volterra [1- ...biological systems in particular with functional ...the ... See full document

... the positive equilibrium of ...general delayed biological ...of prey by the predator throughout its past history governs the present birth rate of the ...following delayed ... See full document

... the existence and global exponential stability of positive almost periodic solutions for model ...permanence, periodic solution and their global attractivity of the Gilpin–Ayala ... See full document

... a periodic environment, significant problem in population growth model is the global existence and stabili- ty of a positive periodic ...resulting periodic nonautonomous sys- tem would ... See full document

... and prey of system ...stable positive equilibrium. Ko and Ryu 4 discussed the existence, stability, and uniqueness of coexistence states and the extinction and permanence of a diffusive ... 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 ... See full document

... non-constant positive steady state solutions, and bifurcations of spatially homogeneous and non-homogeneous periodic so- lutions as well as non-constant steady state solutions are ... See full document

... the predator, m > 0 is the half-saturation constant. Preda- tor-prey systems with Holling type functional response have been investigated exten- sively, for example, Liu and Chen [2] made a ... 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 ... See full document

... on predator-prey ...[22]). Systems with Holling-type functional response have been investigated by many au- thors, see, for example, Hsu and Huang [13], Rosenzweig and MacArthur [22, ...equilibria, ... See full document

... the prey and ...the prey and predator popula- tion per unit area, ...the periodic case, Fan and Kuang established two sufficient criteria for the existence of a posi- tive periodic ... See full document

... the predator can recognize and avoid infected prey then this selection of predator may accrue the enhanced nutritional benifits of eating phylogenetically close prey while limiting risk of ... See full document

... The remaining parts of the paper are organized as follows. In next section, we prove the existence and uniqueness of the global solution of the system (1.2). In section 3, we analyze the locally asymptotical ... See full document

... the existence of four positive almost periodic solutions for an impulsive non-autonomous two species almost periodic Lotka-Volterra predator-prey system with time delay ... See full document

... three-species predator-prey model with time-delay and white noise, and explore the application of MATLAB soft in solving the numerical solution of the stochastic population ...stochastic ... See full document

... cubic predator-prey system with stage structure for the ...Lotka-Volterra predator-prey ...global existence of solutions and the stability of equilibrium points to the system of ... See full document

... To prove our results we adapt Mawhin’s continuation theorem in [2], and we give appropriate region for the system’s multiplicity by finding an a’priori bound.. To prove our assertion, we[r] ... See full document

... deterministic predator-prey models switching at ...the predator-prey system leads to the existence of a periodic Markov process, which plays an important role in the study of the ... See full document