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Wei Chen - One of the best experts on this subject based on the ideXlab platform.
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stochastic Nicholson type delay differential system
International Journal of Control, 2021Co-Authors: Wentao Wang, Ce Shi, Wei ChenAbstract:Focusing on Nicholson-type delay differential system in random environments, we introduce the stochastic system to model the dynamics of Nicholson's blowflies population sizes with mortality rates ...
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stochastic Nicholson s blowflies delayed differential equations
Applied Mathematics Letters, 2019Co-Authors: Wentao Wang, Liqing Wang, Wei ChenAbstract:Abstract In this paper, we consider a class of stochastic Nicholson’s blowflies delayed differential equations. Firstly, we obtain the existence and uniqueness of the global positive solution with nonnegative initial conditions. Then the ultimate boundedness in mean of solution is derived under the same condition. Moreover, we estimate the sample Lyapunov exponent of the solution, which is less than a positive constant. In the end, an example with its numerical simulations is carried out to validate the analytical results.
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positive periodic solutions of Nicholson type delay systems with nonlinear density dependent mortality terms
Abstract and Applied Analysis, 2012Co-Authors: Wei Chen, Lijuan WangAbstract:This paper is concerned with the periodic solutions for a class of Nicholson-type delay systems with nonlinear density-dependent mortality terms. By using coincidence degree theory, some criteria are obtained to guarantee the existence of positive periodic solutions of the model. Moreover, an example and a numerical simulation are given to illustrate our main results.
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permanence for Nicholson type delay systems with patch structure and nonlinear density dependent mortality terms
Electronic Journal of Qualitative Theory of Differential Equations, 2012Co-Authors: Wei ChenAbstract:In this paper, we study the Nicholson-type delay systems with patch structure and nonlinear density-dependent mortality terms. Under appropriate conditions, we establish some criteria to ensure the permanence of this model. Moreover, we give some examples to illustrate our main results.
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existence and exponential stability of positive almost periodic solution for Nicholson type delay systems
Nonlinear Analysis-real World Applications, 2011Co-Authors: Wentao Wang, Lijuan Wang, Wei ChenAbstract:Abstract In this paper, we study the existence and exponential convergence of positive almost periodic solutions for a class of Nicholson-type delay system. Under proper conditions, we establish some criteria to ensure that the solutions of this system converge locally exponentially to a positive almost periodic solution. Moreover, we give an example to illustrate our main results.
Lijuan Wang - One of the best experts on this subject based on the ideXlab platform.
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positive periodic solutions of Nicholson type delay systems with nonlinear density dependent mortality terms
Abstract and Applied Analysis, 2012Co-Authors: Wei Chen, Lijuan WangAbstract:This paper is concerned with the periodic solutions for a class of Nicholson-type delay systems with nonlinear density-dependent mortality terms. By using coincidence degree theory, some criteria are obtained to guarantee the existence of positive periodic solutions of the model. Moreover, an example and a numerical simulation are given to illustrate our main results.
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existence and exponential stability of positive almost periodic solution for Nicholson type delay systems
Nonlinear Analysis-real World Applications, 2011Co-Authors: Wentao Wang, Lijuan Wang, Wei ChenAbstract:Abstract In this paper, we study the existence and exponential convergence of positive almost periodic solutions for a class of Nicholson-type delay system. Under proper conditions, we establish some criteria to ensure that the solutions of this system converge locally exponentially to a positive almost periodic solution. Moreover, we give an example to illustrate our main results.
Bingwen Liu - One of the best experts on this subject based on the ideXlab platform.
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the existence and uniqueness of positive periodic solutions of Nicholson type delay systems
Nonlinear Analysis-real World Applications, 2011Co-Authors: Bingwen LiuAbstract:Abstract This paper is concerned with a class of Nicholson blowfly systems with multiple time-varying delays. By applying the method of the Lyapunov functional, some criteria are established for the existence and uniqueness of positive periodic solutions of the system. Moreover, an example is given to illustrate the main results.
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permanence for Nicholson type delay systems with nonlinear density dependent mortality terms
Nonlinear Analysis-real World Applications, 2011Co-Authors: Bingwen Liu, Shuhua GongAbstract:Abstract In this paper, we study the generalized Nicholson-type delay systems with nonlinear density-dependent mortality terms. Under proper conditions, we establish some criteria to guarantee the permanence of this model. Moreover, we give two examples to illustrate our main results.
Istu Nur . Rohmah - One of the best experts on this subject based on the ideXlab platform.
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SOLUSI NUMERIK PERSAMAAN BOUSSINESQ DENGAN METODE BEDA HINGGA CRANK-Nicholson
2020Co-Authors: Istu Nur . RohmahAbstract:Alam beserta isinya memuat suatu bentuk dan konsep matematika, sehingga permasalahan dapat dicari solusinya dengan menggambarkan ke dalam bentuk persamaan matematika. Persamaan matematika yang sering dikaitkan dengan masalah di bidang IPTEK yaitu persamaan diferensial parsial. Salah satu persamaan differensial parsial yaitu persamaan Boussinesq. Persamaan Boussinesq merupakan persamaan gelombang nonlinear. Tidak semua persamaan dapat diselesaikan secara analitik, oleh sebab itu diperlukan pendekatan secara numerik sehingga hasil penyelesaiannya mendekati solusi sejatinya. Metode Crank Nicholson merupakan salah satu metode beda hingga untuk mendapatkan solusi numerik dari persamaan diferensial parsial dengan mengaproksimasi turunan persaman menjadi sistem persamaan linear. Metode ini merupakan metode beda hingga dengan tingkat ketelitian yang tinggi jika dibandingkan dengan metode beda hingga ekspilisit atau implisit. Penelitian ini akan mencari solusi numerik dari persamaan Boussinesq dengan menggunakan metode beda hingga Crank-Nicholson serta melakukan interpretasi grafik dari simulasi persamaan gelombang Boussinesq, dimana nilai dari Froude Number (F) yang berbeda pada air menghasilkan tinggi gelombang permukaan yang berbeda. Hasil simulasi penelitian ini menunjukkan bahwa ketika F 1 dimana F = 1,75, tinggi gelombang yang dihasilkan sebesar 0,3123, dengan tinggi gundukannya sebesar 0,20159. The universe and its content hold a shape and contents of mathematic, therefore all matters can be look and solved by depicting it Into a form of mathematic equation. Mathematic equation are mostly tied to matters in the field of Science and Technology, which is the partial difference equation. One of the resemblance of partial difference equation is the Boussinesq equation. Boussinesq equation are the equity of the nonlinear wave equation. Not all equation can be solved by analytic, therefore, numeric approach is needed so that the result can be as closed as the true solution. The Crank Nicholson method was one of the different method to achieve until to get numeric solution from partial difference equation by approving the derivative of the equation into linear equation system. This method constitute differential method with a higher accurate level when compared to explicit or implicit higher differential method. This research will search the numeric solutions from Boussinesq equation by using The Crank Nicholson higher method by also doing graphic interpretation from Boussinesq wave equation, where as the value of Froude Number (F) that are result differently on water produce different height of wave. The result or the simulation of this research is showing that when F 1 where as F = 1,75, the height of wave resulted amount of 0,3123, with the mound height of 0,20159
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Solusi Numerik Persamaan Boussinesq dengan Metode Beda Hingga Crank-Nicholson
2020Co-Authors: Istu Nur . RohmahAbstract:Alam beserta isinya memuat suatu bentuk dan konsep matematika, sehingga permasalahan dapat dicari solusinya dengan menggambarkan ke dalam bentuk persamaan matematika. Persamaan matematika yang sering dikaitkan dengan masalah di bidang IPTEK yaitu persamaan diferensial parsial. Salah satu persamaan differensial parsial yaitu persamaan Boussinesq. Persamaan Boussinesq merupakan persamaan gelombang nonlinear. Tidak semua persamaan dapat diselesaikan secara analitik, oleh sebab itu diperlukan pendekatan secara numerik sehingga hasil penyelesaiannya mendekati solusi sejatinya. Metode Crank Nicholson merupakan salah satu metode beda hingga untuk mendapatkan solusi numerik dari persamaan diferensial parsial dengan mengaproksimasi turunan persaman menjadi sistem persamaan linear. Metode ini merupakan metode beda hingga dengan tingkat ketelitian yang tinggi jika dibandingkan dengan metode beda hingga ekspilisit atau implisit. Penelitian ini akan mencari solusi numerik dari persamaan Boussinesq dengan menggunakan metode beda hingga Crank-Nicholson serta melakukan interpretasi grafik dari simulasi persamaan gelombang Boussinesq, dimana nilai dari Froude Number (F) yang berbeda pada air menghasilkan tinggi gelombang permukaan yang berbeda. Hasil simulasi penelitian ini menunjukkan bahwa ketika F 1 dimana F = 1,75, tinggi gelombang yang dihasilkan sebesar 0,3123, dengan tinggi gundukannya sebesar 0,20159
Shuhua Gong - One of the best experts on this subject based on the ideXlab platform.
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permanence for Nicholson type delay systems with nonlinear density dependent mortality terms
Nonlinear Analysis-real World Applications, 2011Co-Authors: Bingwen Liu, Shuhua GongAbstract:Abstract In this paper, we study the generalized Nicholson-type delay systems with nonlinear density-dependent mortality terms. Under proper conditions, we establish some criteria to guarantee the permanence of this model. Moreover, we give two examples to illustrate our main results.
