[PDF] Top 20 Effect of Predator Mutual Interference on an Autonomous Leslie-Gower Predator-prey Model

... a prey refuge and showed that the prey refuge has no influence on the persistent property of both predator and prey species, but could influence the densities of both prey and ... See full document

... delayed Leslie-Gower predator-prey model with continuous threshold prey harvesting is ...the effect of delay on stability of the coexisting ... See full document

... common mutual relationships between two populations in nature, predator–prey relationship plays a significant role in ecology and mathematical ...to model this relationship is by using ... See full document

... modeling mutual interference among predators. Predator-prey systems with a Beddington-DeAngelis functional response have been studied by many authors ...two-competing prey and ... See full document

... environment provides protection to prey x (respectively, to the predator y). They obtained the boundedness and global stability of positive equilibrium of system (.). Yu [] studied the structure, ... See full document

... the prey are incorporated, they establish conditions for the permanence of the populations and sufficient conditions under which a positive equilibrium of the above system is globally stable; Zhang and Luo [] ... See full document

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

... in predator-prey ...a predator-prey system with Holling type-II functional response and a prey ...to predator extinction and prey stabilizing at high ...type ... 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

... the model were discussed by Zhu and Wang ...of model (1), taking into account Michaelis-Menten type prey ...the effect of prey harvesting and growth rate of predator on the ... See full document

... [6] R. Xu, M. A. J. Chaplain and F. A. Davidson, “Periodic Solutions for a Predator-Prey Model with Holling-Type Functional Response and Time Delays,” Applied Mathe- matics and Computation, Vol. 161, ... See full document

... 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

... between predator and prey are usually expressed by different functional response functions, which reflect different dynamical ...on predator and prey and got some different functional response ... See full document

... 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

... 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 ... See full document

... 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

... 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

... 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

... of chaos phenomena of the system. The existence of branches makes the changing laws of nature more complicated, which is also in line with objective facts. Branch theory is increasingly applied in the study of ... See full document

... In the predator-prey interaction, predation is viewed as a "disease" of the predator transmitted by the prey.. In this approach, the predator population is partitioned into hungr[r] ... See full document