STOCHASTIC ANALYSIS FOR THE DESCRIPTION AND SYNTHESIS OF PREDATOR–PREY SYSTEMS

1977 ◽  
Vol 109 (9) ◽  
pp. 1167-1174 ◽  
Author(s):  
Guy L. Curry ◽  
Don W. DeMichele
Keyword(s):  
Steady State ◽  
Mathematical Analysis ◽  
Queueing Theory ◽  
Stochastic Analysis ◽  
Analysis Approach ◽  
Systems Modeling ◽  
Service Facility ◽  
Predator Prey ◽  
System Components ◽  
Transient And Steady State

AbstractIn this paper, a stochastic analysis approach for predator–prey systems modeling is developed. The states of the system are assumed to have a natural probabilistic variation. Elements of queueing theory are used to describe these variations and to obtain both the transient and steady-state results for the system. The predator is considered analogous to a service facility and the prey as customers to be served. The Holling disk equation and mantid–fly experiments are analyzed by this approach. The method provides a framework for a straightforward synthesis of the system components and is readily generalized for multiple predator systems. Furthermore, hunger and other behavioral aspects can be easily incorporated into the mathematical analysis.

Transient and Steady-State Stochastic Analysis of Nonlinear Oscillators Using the Fokker-Planck-Kolmonogrov Equation

2005 ◽  
Author(s):  
Todd Rook
Keyword(s):  
Steady State ◽  
Stochastic Analysis ◽  
Nonlinear Oscillators ◽  
Distribution Functions ◽  
Chaotic Attractors ◽  
Stationary Probability ◽  
Stationary Probability Distribution ◽  
Probability Distribution Functions ◽  
Piecewise Continuous ◽  
Transient And Steady State

An efficient technique to calculate the transient and stationary probability distribution functions (PDF) of the response of SDOF oscillators with piecewise continuous nonlinearities is presented. The method compares favorably with previous methods in reproducing stationary distributions and chaotic attractors, but further work is needed in calculating Lyapunov exponents to the desired accuracy.

Modeling of assembly systems with complex structures for throughput analysis during transients

2019 ◽  
Vol 39 (2) ◽  
pp. 262-271
Author(s):  
Yukan Hou ◽  
Yuan Li ◽  
Yuntian Ge ◽  
Jie Zhang ◽  
Shoushan Jiang
Keyword(s):  
Steady State ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Assembly Systems ◽  
Complex Structures ◽  
Throughput Performance ◽  
Throughput Analysis ◽  
Content Type ◽  
Serial Production Lines ◽  
Transient And Steady State

Purpose The purpose of this paper is to present an analytical method for throughput analysis of assembly systems with complex structures during transients. Design/methodology/approach Among the existing studies on the performance evaluation of assembly systems, most focus on the system performance in steady state. Inspired by the transient analysis of serial production lines, the state transition matrix is derived considering the characteristics of merging structure in assembly systems. The system behavior during transients is described by an ergodic Markov chain, with the states being the occupancy of all buffers. The dynamic model for the throughput analysis is solved using the fixed-point theory. Findings This method can be used to predict and evaluate the throughput performance of assembly systems in both transient and steady state. By comparing the model calculation results with the simulation results, this method is proved to be accurate. Originality/value This proposed modeling method can depict the throughput performance of assembly systems in both transient and steady state, whereas most exiting methods can be used for only steady-state analysis. In addition, this method shows the potential for the analysis of complex structured assembly systems owing to the low computational complexity.

scholarly journals Some comments on transient and steady-state reconnection at the dayside magnetopause

2000 ◽  
Vol 27 (9) ◽  
pp. 1359-1362 ◽  
Author(s):  
Alan S. Rodger ◽  
Iain J. Coleman ◽  
Mike Pinnock
Keyword(s):  
Steady State ◽  
Dayside Magnetopause ◽  
Transient And Steady State
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