[PDF] Top 20 A diffusive predator prey system with prey refuge and gestation delay
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A diffusive predator prey system with prey refuge and gestation delay
... Population biology is an important subject in both ecology and mathematical ecology. And predator-prey model is one of the most interesting and popular areas in population biology. Many scholars have done a ... See full document
22
A delayed impulsive food chain system with prey refuge and mutual inference of predator
... and delay differential equations is emerging as an important area of investigation ...delayed prey–predator system with mutual interference and impulses as ... See full document
26
Periodic pulse control of Hopf bifurcation in a fractional order delay predator–prey model incorporating a prey refuge
... fractional-order delay predator–prey model incorporating a prey ...such system is studied. Taking the time delay as the bifurcation parameter, critical values of the time ... See full document
30
Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten type predator harvesting
... studied predator–prey dynamic models and developed them in many ways ...stochastic prey–predator system in a polluted environment with Beddington–DeAngelis functional response and ... See full document
15
Role of refuge on dynamics of prey-predator model with infected prey
... of prey refuges have two major influ- ences on prey predator ...the system [13, 14, 15, 16, 17, 18, 19, 20]. A continuous time prey-predator model assuming the rate of ... See full document
29
Delay induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio dependent response and Smith growth
... In recent years, many authors investigate the diffusive predator–prey model with lo- gistic prey growth rate [6–10] or strong Allee effect in prey [11]. It came out that this assumption is not ... See full document
11
Stability of a diffusive predator–prey model with modified Leslie–Gower and Holling type II schemes and time delay in two dimensions
... 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, under certain ... See full document
17
Advantage of prey due to herd behavior in diseases selective system
... 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
6
A Ratio dependent Eco epidemiological Model Incorporating a Prey Refuge
... an prey refuge with disease in the prey population which is governed by modified logistic equation ...a refuge into system (2.1) provides a more realistic model. A refuge can be ... See full document
15
Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model
... In other word, while the unharvested coexistence equilibrium is stable, the thresh- old harvesting policy can never increase both populations. In this case coexistence equilibrium have a larger prey population and ... See full document
18
Dynamical behaviors of a predator prey system with prey impulsive diffusion and dispersal delay between two patches
... a predator-prey model with prey impulsive diffusion and dispersal ...the predator-extinction periodic solution and the permanence of ...the prey with impulsive diffusion and dispersal ... See full document
11
Stability analysis of a fractional order predator–prey model incorporating a constant prey refuge and feedback control
... the predator–prey model with prey refuge is an interesting and pop- ular topic; here prey refuge can be reviewed as any strategy that decreases the risk of pre- dation, including ... See full document
12
Global Asymptotical Stability in a Stochastic Predator-Prey System With Variable Delays
... the prey and the predator, respectively; r i , a ij , τ and δ i (i, j = 1, 2) are given positive ...stochastic predator-prey model with time delays as ... See full document
6
Aspects of the biology of Astrostole Scabra (Hutton, 1872)
... which prey species achieve a size refuge from predation may be the result of changed feeding behaviour or food preferences on the part of the predator... The size refuge, therefore, may [r] ... See full document
264
Permanence and global attractivity of a nonautonomous modified Leslie Gower predator prey model with Holling type II schemes and a prey refuge
... the prey refuge has a positive effect on the persistence prop- erty of the system, indeed, with the increasing of prey refuge, the predators have difficulty in catching the prey ... See full document
11
Effect of Predator Mutual Interference on an Autonomous Leslie-Gower Predator-prey Model
... The organization of this paper is as follows. In Section 2, we discuss the existence and stability of positive equilibrium point of system (2). The influence of predator mutual inter- ference is discussed ... See full document
5
Predator-prey interactions with harvesting of predator with prey in refuge
... the predator or ...the prey has developed strategies to avoid the predator, one of them the use of ...infected predator is harvested, while the prey has a ... See full document
19
The dynamics of disease transmission in a Prey Predator System with harvesting of prey
... susceptible prey is capable of reproducing logistically. While susceptible prey can easily escape the predation, the infected prey are weakened due to disease and become easier to ...infected ... See full document
17
Note on the stability property of a ratio-dependent Holling-Tanner model
... The paper is arranged as follows: In Section 2, some useful Lemmas are established and then we prove the main results in Section 3. In Section 4, two examples together with their numeric simulations are presented to ... See full document
16
Dynamics of a predator-prey system with prey refuge
... wolf-ungulate system, ungulates may seek refuge by migrating to areas outside the core territories of wolves (migration) or survive longer outside the wolves a core use areas ...(mortality)[23]. Prey ... See full document
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