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Abbaszadeh, Mostafa, Bagheri Salec, Alireza, Salman Alwan, Afaq. (1403). Interpolating MLPG method to investigate predator-prey population dynamic with complex characters. سامانه مدیریت نشریات علمی, 13(2), 357-372. doi: 10.22034/cmde.2024.59100.2508
Mostafa Abbaszadeh; Alireza Bagheri Salec; Afaq Salman Alwan. "Interpolating MLPG method to investigate predator-prey population dynamic with complex characters". سامانه مدیریت نشریات علمی, 13, 2, 1403, 357-372. doi: 10.22034/cmde.2024.59100.2508
Abbaszadeh, Mostafa, Bagheri Salec, Alireza, Salman Alwan, Afaq. (1403). 'Interpolating MLPG method to investigate predator-prey population dynamic with complex characters', سامانه مدیریت نشریات علمی, 13(2), pp. 357-372. doi: 10.22034/cmde.2024.59100.2508
Abbaszadeh, Mostafa, Bagheri Salec, Alireza, Salman Alwan, Afaq. Interpolating MLPG method to investigate predator-prey population dynamic with complex characters. سامانه مدیریت نشریات علمی, 1403; 13(2): 357-372. doi: 10.22034/cmde.2024.59100.2508

Interpolating MLPG method to investigate predator-prey population dynamic with complex characters

Computational Methods for Differential Equations
مقاله 1، دوره 13، شماره 2، خرداد 2025، صفحه 357-372    اصل مقاله (4.29 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.59100.2508
نویسندگان
Mostafa Abbaszadeh* 1؛ Alireza Bagheri Salec2؛ Afaq Salman Alwan3
1Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), No. 424, Hafez Ave., 15914 Tehran, Iran.
2Department of Mathematics, Faculty of Basic Scince, University of Qom Alghadir Blvd., Qom, Iran.
3Department of Mathematics, Faculty of Basic Scince, University of Qom Alghadir Blvd., Qom, Iran.
چکیده
The predator-prey model is a pair of first-order nonlinear differential equations which are used to explain the dynamics of biological systems. These systems contain two species interacting, one as a predator and the other as prey. This work proposes a meshless local Petrov-Galerkin (MLPG) method based upon the interpolating moving least squares (IMLS) approximation, for the numerical solution of the predator-prey systems. With this aim, the space derivative is discretized by the MLPG technique in which the test and trial functions are chosen from the shape functions of IMLS approximation. Next, a semi-implicit finite difference approach is utilized to discretize the time derivative. The main aim of this work is to bring forward a flexible numerical procedure to solve predator-prey systems on complicated geometries.
 
 
 
 

تازه های تحقیق

 

 

کلیدواژه‌ها
Predator-prey model؛ Meshless local Petrov-Galerkin (MLPG) method؛ Interpolating IMLS approximation
اصل مقاله

 

 

مراجع
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