scholarly journals A network landscape model: stability analysis and numerical tests

Author(s):  
E. Bonacini ◽  
M. Groppi ◽  
R. Monaco ◽  
A.J. Soares ◽  
C. Soresina
2011 ◽  
Vol 2011 ◽  
pp. 1-7
Author(s):  
Hikaru Shimizu ◽  
Sho Nishiyama ◽  
Yukiko Wakita ◽  
Eisuke Kita

A driver usually controls the vehicle according to only the information from the nearest leader vehicle. If the information from the other leader vehicles is also available, the driver can control the vehicle more adequately. The aim of this study is to discuss the effectiveness of the information from the other leader vehicles than the nearest one for the traffic flow. For this purpose, the traffic flow is modeled by using the Chandler-type multi-vehicle-following model. This model changes the vehicle acceleration rate according to the velocity differences between the vehicle and its multileader vehicles. After the model stability analysis, the traffic flow simulation is performed. The results reveal that the stable region of the model parameters expands according to the increase of the number of the leader vehicles.


2021 ◽  
Author(s):  
Didiharyono D.

In this paper discussed stability analysis and harvesting effort at second predator prey populations model Holling type III with maximum profit. The step this research is to determine the equilibrium point, linearize the model, stability analysis of the equilibrium point, and numerical simulation. Result shows that obtained an interior point T𝐸2∗(𝑁1∗,𝑁2∗) that asymptotic stable based on Hurwitz stability test then obtained maximum profit from exploitation harvesting effort of second predator prey populations. This second populations will always exist, even though exploited with harvesting effort done by humans. Harvesting effort of second predator-prey populations given maximum profit (𝜋𝑚𝑎𝑥) that occur on critical points of surface profit function


2018 ◽  
Vol 11 (9) ◽  
pp. 1519-1528 ◽  
Author(s):  
Roghayeh Gavagsaz‐Ghoachani ◽  
Louis‐Marie Saublet ◽  
Matheepot Phattanasak ◽  
Jean‐Philippe Martin ◽  
Babak Nahid‐mobarakeh ◽  
...  

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Yuexin Yu ◽  
Liping Wen

This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs). The adaptation of one-leg methods is considered. It is proved that anA-stable one-leg method can preserve the global stability and a stronglyA-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs. Numerical tests are given to confirm the theoretical results.


2019 ◽  
Vol 27 (4) ◽  
pp. 2769-2783
Author(s):  
Musharif AHMED ◽  
Ijaz Mansoor QURESHI ◽  
Muhammad Aamer SALEEM ◽  
Muhammad ZUBAIR ◽  
Saad ZAFAR

2020 ◽  
Vol 28 (1) ◽  
pp. 33-62 ◽  
Author(s):  
Cheng Liao ◽  
Pengzhan Huang ◽  
Yinnian He

AbstractA decoupled finite element method with different time steps for the nonstationary Darcy--Brinkman problem is considered in this paper. Moreover, for the presented method, the stability analysis and error estimates are deduced. Finally, numerical tests are provided that demonstrate the efficiency of the method. It is found the presented method can save lots of computational time compared with standard coupled method.


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