[PDF] Top 20 Global behavior for a diffusive predator-prey system with Holling type II functional response

... cross-diffusion predator-prey system with Holling type II functional response is ...the global existence of non-negative classical solutions to this ... See full document

... structured predator-prey systems have been investigated by many authors in recent years ...the global stability and permanence of a predator-prey system with a stage structure ... See full document

... a predator-prey ...for system (.) under some suitable conditions, that is, the prey and the predator can coexist for a long period of time under some ... See full document

... the Holling type I, II, and III functional response, ...the predator, m > 0 is the half-saturation constant. Preda- tor-prey systems with Holling type ... See full document

... introduced system (1.2) and established the stability of the positive equilibrium and uni- form persistence of the solution semiflows. Shi et al. in [27] considered the existence of the Turing–Hopf bifurcation ... See full document

... A Holling type III functional response predator-prey system with constant gestation time delay and impulsive perturbation on the prey is ...the global ... See full document

... harvested predator-prey system with Holling type III functional response is ...and global stability properties of the equilibria and the existence and uniqueness of ... 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 ... See full document

... incorporating a prey refuge under sparse effect is considered. Through qualitative analysis of the model, at least two limit cycles exist around the positive equilibrium point with the result of focus value, the ... See full document

... Fractional calculus is an extension of classical calculus that generalizes the order of deriva- tives and integrals to a non-integer order. Fractional calculus was first discussed more than 300 years ago by Leibniz and ... See full document

... and global stability of coexisting interior ...dynamical behavior of system ...and global sta- bility of positive equilibrium. The dynamical behavior of system ... See full document

... diffusive predator–prey model with modified Leslie–Gower and Holling-type II schemes and time-delay in two ...this system, we obtain three trivial equilibrium points of which, ... See full document

... The rest of the paper is organized as follows. In Sect. 2, we give the existence and unique- ness of global positive solution and the solution is stochastically ultimately bounded. Moreover, we obtain that ... See full document

... Leslie-Gower predator-prey model with Holling Type-IV functional response and with disease in prey population in presence of predator harvesting is ...the ... See full document

... of prey that cause change of spatial locations such as switch of habitat usage have been observed in experiments ([45]) and therefore should be examined in ...usion-advection predator-prey model in ... See full document

... as Holling type functional response, where h is the handling time of predators, λ is the attack efficiency of predator to prey population, the exponent n describes the shape of the ... See full document

... the predator and prey abruptly experience a change of ...IPM predator-prey model concerning periodic biological and chem- ical ...impulsive prey-predator system with ... See full document

... considered system by introducing a new lemma and applying the standard comparison ...one type of the predation system, the food-chain system are more realistic and complex than the ... See full document

... The predator–prey model is a very important population dynamics ...the functional response, based on ratio, age, or gender struc- ture, reaction–diffusion, ...The functional ... See full document

... the first and second species, respectively. For more ecological sense of model (1), one can see [1] and the references cited therein. By using differential inequality, the module containment theorem and the Lyapunov ... See full document