Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application

Jiang, Yushan; Zhang, Qingling

doi:10.1155/2016/3713864

Cited by 5 publications

References 31 publications

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Modeling boyciana–fish–human interaction with partial differential algebraic equations

Jiang

Zhang

Wang

2016

Mathematical Biosciences

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Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's persistence properties: the loacl stabilities of positive steady states, the absorbtion region and the global stability. And the proposed approach is illustrated by numerical simulation. Finally, by using the realistic data collected in the past fourteen years, the PDAEs parameter optimization model is built to predict the boyciana population.

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Modeling boyciana–fish–human interaction with partial differential algebraic equations

Jiang

Zhang

Wang

2016

Mathematical Biosciences

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Two side observer design for singular distributed parameter systems

Jiang

Liu

Zhang

et al. 2019

Systems & Control Letters

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Active contour model by combining edge and region information discrete dynamic systems

Wang

Liu

2017

Advances in Mechanical Engineering

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The basic idea of active contour model upon the image segmentation problem is evolved into a closed curve about the functional minimization problems. Active contour model based on edge information takes advantage of gradient information, and it has some shortcomings such as cannot separate weak boundary, fuzzy boundary, and discontinuous boundary object. Chan-Vese active contour model without edges can overcome the shortcomings of model based on gradient, but it cannot separate gray inhomogeneous target and evolves slowly, moreover, segmentation efficiency is low. The aim of this article is to overcome the shortage of the geodesic active contour model such as lower convergence rate and more easily trapped in local minimum .The article puts forward a new active contour model control system where the edge information is combined with regional one effectively, and it makes good use of the gradient information and the area information. A large amount of simulation results show that the proposed algorithm's convergence speed is much faster than geodesic active contour model, and it can segment serious noisy image. It inherited the edge and the region information as well, so the new model performs well in resisting noise and has high segmentation efficiency.

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Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application

Cited by 5 publications

References 31 publications

Modeling boyciana–fish–human interaction with partial differential algebraic equations

Modeling boyciana–fish–human interaction with partial differential algebraic equations

Two side observer design for singular distributed parameter systems

Active contour model by combining edge and region information discrete dynamic systems

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