[PDF] Top 20 A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT IN THE PREY AND AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR
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A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT IN THE PREY AND AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR
... space, food, and essential nutrients) are limited, every population grows into a saturated phase from which it cannot grow further; the ecological habitat of the population can carry just so much of it and no ... See full document
11
Hopf bifurcation of a delayed diffusive predator prey model with strong Allee effect
... diffusive predator-prey system where the growth of prey population is governed by Allee effect and the predator population consumes the prey according to Beddington-DeAngelis type ... See full document
22
Stability and Bifurcation in a Stage-structured Predator-prey Model with Allee Effect and Time Delay
... stage-structured predator-prey model incorporating time delay with prey growth subject to a strong Allee ...in prey. Using the delay as a bifurcation parameter, the ... See full document
8
Qualitative Analysis of a Predator prey Model with Weak Allee Effect
... of predator-prey models has a long ...that prey growth is damped by the strong Allee ...the Allee effect and predation, suc- cessful establishment of exotic species may ... See full document
7
Complex dynamics of a discrete predator–prey system with a strong Allee effect on the prey and a ratio dependent functional response
... There are many investigations for predator–prey models [2–12] and [23, 25]. In recent years, the discrete-time population models have attracted more and more attention. On the one hand, when the populations ... See full document
16
Stability and invariant manifold for a predator prey model with Allee effect
... Predator-prey models are similar to host-parasite and host-parasitoid models. In this sys- tem, the predator does not live on the host. The prey serves as a food source for the ... See full document
8
Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay
... of prey and predators; A, a, b, d, n, m, h, δ are positive constants; τ demonstrates the time delay because of the gestation of the predator; m and h measure the effects of capture rate and handling time, ... See full document
21
Role of Alternative Prey in A Predator-Prey Model With Prey Refugia - A Mathematical Study
... study predator-prey model with various biological factors and ...a predator-prey food chain model with alternative prey source for predator ... See full document
8
Neimark–Sacker bifurcation and stability analysis of a discrete time prey–predator model with Allee effect in prey
... and food exploitation [11–14]. Empirical evidence of the Allee effect has been observed in many natural species, for example, plants [15], insects [16], marine invertebrates [17], birds and mammals ...the ... See full document
12
Dynamic study of a predator prey model with Allee effect and Holling type I functional response
... the strong and weak Allee ...the Allee effect as regards strength and ...the model is stable, model (3) with strong Allee effect must be a bistable ...weak Allee ... See full document
15
Application of inequalities technique to dynamics analysis of a stochastic eco epidemiology model
... of predator is a very important factor of predator-prey system, which reflects the average consumption rate of predator to ...the predator-prey system with functional response ... See full document
29
Stability of a stage-structured predator-prey model with Allee effect and harvesting
... the Allee effect on the stage structure model, also, since the creatures of higher rank are more likely to die out or have Allee effect, due to the lack of food, it is necessary ... See full document
20
Bifurcation Analysis of Prey-Predator Model with Harvested Predator
... on effect of harvested predator species on a Holling type IV prey-predator model involving intra-specific competition and establish results for boundedness, existence of a positively ... See full document
10
Analysis of stability and Hopf bifurcation in a fractional Gauss type predator–prey model with Allee effect and Holling type III functional response
... Kolmogorov model is a general continuous time predator–prey model, consisting of a system of first order differential equations ...Lotka–Volterra model [47], Gauss-type models [48], Hsu ... See full document
20
Effect of pollution on prey-predator system with infected predator
... mathematical model is proposed with effect of pol- lutant on a prey-predator system with disease in ...mathematical model is proposed in section 4 followed by the existence and local ... See full document
24
Predator-prey interactions with harvesting of predator with prey in refuge
... study predator prey interactions where the predator is exposed to the risk of disease and harvesting while the prey has the ability to use a ...of prey to use a constant refuge and the ... See full document
19
A Predator prey Model with Predator Population Saturation
... converting prey biomass to predator biomass as their population increases, is validated by a study conducted by Schmidt and Mech [13] on the optimal wolf pack ...less food per wolf as pack size ... See full document
7
Two habitats and a predator switching model with group defense
... Group defense is a term used to describe a phenomenon whereby predation is decreased or even prevented altogether by the ability of the pre population to better defend themselves when their number is large. Major ... See full document
7
A predator-prey model with effect of toxicity and with stochastic perturbation
... stochastic predator-prey populations in toxic ...the model established in this paper possesses non-negative solutions as this is essential in any population dynamics ...the model. We show that ... See full document
11
Backward bifurcation of predator–prey model with anti predator behaviors
... stable predator-extinction equilibrium ...the predator-extinction ...the predator-extinction equilibrium loses its stability while the unstable positive equilibrium ...the prey. How- ever, ... See full document
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