Bus Routes Optimization and Adjustment Based on the Optimal Service Capability of Urban Bus Stop
A large number of urban bus routes and bus stops are clustered in the central business area, which provides the mobility for the city residents but brings about traffic-related problems at the same time. For example, one of the common phenomena is that many buses are seriously delayed at the bus stop, particularly in the rush hours. The paper attempts to minimize the total delay of the buses at the same stop through analyzing the characteristics of bus routes and docking time of the buses, taking into account the temporal characteristics of the docking buses and the passengers' demand, and finally determining the optimal capacity of the bus stop. The paper proposes a new approach to reduce the redundancy of bus routes at the same stop. The paper also verifies the practicability of the model through a case study.
In this paper the dynamics of a discrete-time prey-predator system is investigated in the closed first quadrant . The existence and stability of fixed points are analyzed algebraically .The conditions of existence for flip bifurcation is derived by busing center manifold theorem and bifurcation theory. Numerical simulations not only illustrate our results but also exhibit complex dynamical behaviors of the model, such as the periodic-doubling bifurcation in periods 2,4 and 8 and quasi-periodic orbits and chaotic sets. Keywords : Discrete Model, Beddington-Deangelis Functional Response, Stability, Flip Bifurcation, Center Manifold Theorem, Numerical Simulation.