[PDF] Top 20 An impulsive prey predator system with stage structure and Holling II functional response

... the predator and prey abruptly experience a change of ...their stage changes ...impulses. Impulsive methods have been applied in almost ev- ery field of the applied ...IPM ... See full document

... a stage-structured predator-prey system with Holling-II functional response and two ...the system is ... See full document

... of predator-prey interactions under a prey refuge have been studied by some ...a prey refuge with legitimate entry- exit dynamics was quite capable of amplifying rather than damping ... See full document

... a predator–prey model with modified Leslie–Gower and Holling type II schemes with stochastic perturbation and the condition for persistence and ex- tinction of the system is ...a ... See full document

... considered system by introducing a new lemma and applying the standard comparison ...predation system, the food-chain system are more realistic and complex than the prey-predator ... 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- ...for impulsive Gause-type ... See full document

... Finally, we remark that in the past decades, there has been much work on the existence and non-existence of non-constant positive steady states of ecological models with dif- fusion or cross-diffusion under the ... See full document

... Now we consider the problem of uniqueness of the limit cycle arising from Hopf bi- furcation at the parametric value α = α ∗ . There are different techniques for studying the uniqueness of limit cycles. Kuang [] gave ... See full document

... discrete predator–prey system with modified Holling–Tanner functional ...the system into the locally stable ...the system producing far richer ...of prey is high, ... See full document

... nature, predator–prey relationship plays a significant role in ecology and mathematical ...predator’s functional responses, which is a key component of a predator– prey ...a ... 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

... ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting in presence of white noise terms to understand the dynamics in presence of ... See full document

... In [], the authors analyzed the dynamics of system (.), specially, by using the iterative technique, the authors obtained a set of sufficient conditions which guarantee the exis- tence of a unique globally ... See full document

... The growth of species in nature is often restricted by the environment. Be- cause of environmental fluctuations, the parameters involved in the population model are not constant, and they may fluctuate around some ... See full document

... diffusion predator-prey system with Holling type-II functional response in a bounded domain with no flux boundary ...the predator and the prey can coexist ... See full document

... the prey and predator populations at time t, respectively; r, K, α, β , k, d are ...the prey, K is the carrying capacity of the ...the predator, which reflects the size of the predator’s ... See full document

... cross-diffusion predator-prey system with Holling type II functional response is ...this system in which the space dimension is not more than five is ... See full document

... of prey refuge played an important role in determining the dynam- ical consequences of predator-prey systems [, , , , , , ...of prey refuge into the considered predation system ... 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

... autonomous predator-prey system with stage structure of distributed-delay type is studied in this ...the system is ...a stage-structured predator-prey ... See full document