[PDF] Top 20 The properties of a stochastic model for the predator-prey type of interaction between two species

... When k = 0-8 in this system, the 'normal' approximation suggests that the mean passage time to zero should be of the order of 35 steps for both species. Both of these means are somewhat [r] ... See full document

... In recent years, many scholars have studied the survival of populations with toxicants effect by establishing mathemat- ical models. Hallam and his colleagues did pioneering work in [1], [2], [3], where the authors ... See full document

... Some questions deserve further explorations. In the first place, it is significant to study the delay population system with other disturbance, such as Lévy jumps, or Markovian switching. Another problem is to consider ... See full document

... equation model with time delay has more complex dynamic behavior than the general differential equation ...three-species predator-prey models with delays and white noise, in which the ... See full document

... Population systems have long been an important theme in mathematical biology due to their universal existence and importance. As a result, interest in mathematical models for populations with interaction ... See full document

... a predator and two species with mutual interaction among ...mutual species and the ...dynamical properties of different equilibrium points of the ...reduced model under ... See full document

... of interaction of biological species have reached a new milestone and involvement of mathematicians in it opened a new door to a discipline called mathematical biology[23, 22, ...Holling Type II,III ... See full document

... However, species does not exist alone; while species spreads the disease in the natural world, it also competes with other species for resource to exist, or is predated by their ... 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

... I t is perhaps worth noting that if we were to derive the theoretical variances from the type of continuous time model suggested by Bartlett (1955, 1957; cf. also Whittle, 1957) for stud[r] ... 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, ...11]. Two ... See full document

... Volterra model describes interaction between two species in an ecosystem, a predator and a ...The model was developed independently by Lotka [9] and Volterra ...realistic ... See full document

... both predator and prey species with obvious implications for the relationships between ...specific prey, whilst comparable constrains on prey outline which predators pose a ... See full document

... Leslie-Gower predator-prey model with predator mutual interference and shows that the unique positive equilibrium of the system is globally stable unconditionally by constructing a suitable ... See full document

... the species will grow without any disturbances and hence protected population can improve their ...on species dynamics and management tools on protection of all components of a marine ...of species ... See full document

... of 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 ... See full document

... Abstract —A stochastic predator-prey system in- volving time-varying delays is considered. Some new sufficient conditions for existence, extinction and global asymptotical stability are obtained. It is ... See full document

... ISSN(E): 2277-128X, ISSN(P): 2277-6451, pp. 39-45 [16] B. H. Prasad, A Study on a Four Species Syn-Eco-System Consisting of Host-Commensal, Prey-Predator and Co-Operation with Mortality Rates, Int. ... See full document

... three- species Predator-Prey ...Zhanp predator-prey system with impulsive perturbations on predators, Liu ZJ[13] researched existence of periodic solutions for a delayed ratiod- ... See full document

... by predator-prey models have long been the topic of research interest of many biomathematical scholars, and there have been vast studies to investigate the dynamics of predator-prey models, ... See full document