Papers by Keyword: Stochastic Disturbance

Abstract: A new non-autonomous predator-prey model in a polluted environment with stochastic perturbation is considered in this paper. The existence of a global positive solution and stochastically ultimate boundedness are derived. Furthermore, some sufficient and necessary criteria for extinction, non-persistence in the mean, weak persistence in the mean, strong persistence in the mean are obtained. At last, a series of numerical simulations to illustrate our mathematical findings are presented.

Abstract: This paper presents a hybrid-clustering algorithm that is a stochastic disturbance of particle swarm optimization (PSO) for K-means clustering method (SDPSO-K). The proposed algorithm can improve the particle global searching ability in PSO to avoid the K-means disadvantage of being easily trapped in a local optimal solution and to save the expensive computational cost of PSO clustering. The performance of the SDPSO-K, compared with three recently developed modified PSO techniques and related clustering algorithms for six datasets, indicates that the SDPSO-K algorithm is clearly and consistently superior in terms of precision and robustness.

Abstract: In this paper, we focus on the interaction between inventory investment and market demand, and consequent effect on discount profit when stochastic disturbance is introduced into the system. To this end, we set up optimal decision-making models on inventory cross-time management , in which inventory is considered as firms investment and Market demand follows SDE , as well as inventory investment. Helpful results and three propositions are obtained.