[PDF] Top 20 Analysis of a predator prey model with Lévy jumps

... the prey and predator at time t, respec- tively, and they should be ...of model, only posi- tive solutions are meaningful, which will be proved theoretically in mathematics analysis in Lemma ... See full document

... A predator-prey model with Beddington-DeAngelis functional response and disease in the predator population is proposed, corresponding to the deterministic system, a stochastic model is ... See full document

... the analysis of these models focus on the coexistence of population and local (or global) stability of equilibria ...stage-structured predator-prey model with prey impulsively diffusing ... See full document

... behavior. They discussed complete analysis of local and global dynamical behaviors of this model by Filippov qualitative theory. Peng et al. [10] proposed a hybrid control strategy in a ... See full document

... The predator-prey model has long been one of the dominant themes due to its universal existence and ...type predator-prey model; see [–] for ...response ... See full document

... Abstract—In this paper, a stochastic predator-prey popula- tions model in polluted environments is proposed and investi- gated. We first study the existence, uniqueness and boundedness of the global ... See full document

... In this paper, we investigate the dynamics of a time-delayed prey–predator system with θ -logistic growth. Our investigation indicates that the models based on delayed differential equations (DDEs) with and ... See full document

... tor-prey model is an important branch. In this paper, a predator-prey reaction-diffusion system with weak Allee effect and homogeneous Neumann boundary condition is ... See full document

... the analysis of population dynamical problems of (SM), two difficult is- sues arise: (i) how to handle the delays in the given model and (ii) how to handle the nonlin- ear terms in ... See full document

... ecology. Predator–prey interaction has always been an important issue in mathematical modelling of ecological ...their prey is one of the dominant themes in ...Lotka–Volterra ... See full document

... Numerical analysis shows that the predator can coexist with the prey in the term of a sta- ble positive equilibrium if the rate of anti-predator behavior is relatively small, as shown in ... See full document

... classic predator–prey population model is the Lotka–Volterra model established by Alfred James Lotka and Vito Volterra in the ...the predator–prey models and we here do not ... See full document

... Saputra, K. V. I. (2008). Semi-global analysis of Lotka-Volterra systems with constant terms. Thesis: Degree of Doctor of Philosophy. School of Engineering and Mathematical Sciences Faculty of Science, Technology ... See full document

... between predator and prey [–]. Interaction between predator and prey is hard to avoid being influenced by some ...infected predator-prey systems ...a ... See full document

... unobservable predator trajectory, and parameter values, for a predator-prey model by analysis of measurements of the prey dynamics that were (as is typical) corrupted by ...the ... See full document

... in prey population, and found that optimal harvesting policy is dependent on both gestation delay and Allee ...harvesting predator-prey model with infection in the prey population and ... See full document

... important Predator – Prey models with the functional response is the Holling type – IV, originally due to Holling which has been extensively studies in many articles [4-6, ...of predator to its ... See full document

... new predator-prey model having predator saturation is ...The model resembles a classical Rosenzweig-MacArthur type model, but comes with an added function, the population ... See full document

... mathematical model has been proposed and analyzed to study the stability on the dynamics of a two patchy predator-prey ...The model has been analyzed in a marine environment with effect of ... See full document

... a prey-predator model. It is assumed, that the prey is infected and infected prey is more vulnerable to predation as compared to susceptible ...stability analysis of the ... See full document