[PDF] Top 20 Global stability of a predator-prey system with stage structure of distributed-delay type

... the system [2]; By introducing a new lemma and applying the stan- dard comparison theorem, they investigated the persistent property of the system [3]; For the autonomous case, by using an iterative method, ... See full document

... the predator-prey model has become one of the most important research topics in mathematical ecology for nearly a ...a predator-prey ...the global stability of a ... See full document

... orbital stability of a periodic orbit and obtain the global stability of the positive equilibrium for the general ...time delay. In general, delay differential equations exhibit much ... See full document

... ratio-dependent predator-prey system with time delay due to the gestation of the predator and stage structure for both the predator and the prey is ...local ... See full document

... these predator-prey, there may be few works available on multi species interaction by considering FDE with time ...the stability and Hopf bifurcation in a ratio dependent predator-prey ... See full document

... each stage. Therefore, stage structure population models are more reasonable than other models and exhibits real world ...the predator- prey system with stage ... See full document

... two-species predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and ... See full document

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

... immature stage and mature ...on stage structure ...of prey predator system with stage structure [3, 5, 6, 7, 8, 9, 10, ...of stage structure and ... See full document

... above, predator functional response functions used are of prey-dependent type, which neglect the competition and share between preda- tors in the process of searching for limited ...that ... See full document

... In this section we discuss the existence, uniform boundedness of global solutions, and the stability of constant equilibrium solutions for the weakly coupled reaction-diffusion system 1.3 . In ... See full document

... immature predator species to the organismal toxicant concentration at time t lead to make the underlying system uniformly ...this system admits a positive periodic solution, then it is globally ... See full document

... the stage-structure predator-prey model with Allee effect on predator species and harvesting on prey ...the global at- tractivity of the ...and stage ... See full document

... The predator–prey model is one of the basic models between different species in nature which has been widely researched ...Holling type II. For example, Xu [8] discussed the global dynamics of ... See full document

... Some stage-structured mod- els for the prey-predator system consisting of immature and mature individuals were an- alyzed in ...a stage-structured prey-predator model with ... See full document

... Hassell-Varley type functional response ...of predator-prey models with Beddington-DeAngelis functional response ...and global asymptotic stability of equilibria of delayed ... See full document

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

... sufficient conditions for the boundedness, existence of a positively invariant attracting set and global stability of coexisting interior equilibrium. In [11] the authors con- sidered the dynamical behavior ... See full document

... the global boundedness of clas- sical solutions to ...reaction–diffusion system of predator–prey model, the prey- taxis mechanism means a direct movement of the predator u in ... See full document

... The organization of this paper is as follows. In Section 2, we agree on some notations, give some definitions, and state three lemmas which will be essential to our proofs. In Section 3, by introducing the techniques ... See full document