کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1140722 956739 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonstandard finite-difference methods for predator–prey models with general functional response
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Nonstandard finite-difference methods for predator–prey models with general functional response
چکیده انگلیسی

Predator–prey systems with linear and logistic intrinsic growth rate of the prey are analyzed. The models incorporate the mutual interference between predators into the functional response which stabilizes predator–prey interactions in the system. Positive and elementary stable nonstandard (PESN) finite-difference methods, having the same qualitative features as the corresponding continuous predator–prey models, are formulated and analyzed. The proposed numerical techniques are based on a nonlocal modeling of the growth-rate function and a nonstandard discretization of the time derivative. This discretization approach leads to significant qualitative improvements in the behavior of the numerical solution. In addition, it allows for the use of an essentially implicit method for the cost of an explicit method. Applications of the PESN methods to specific predator–prey systems are also presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 78, Issue 1, June 2008, Pages 1–11
نویسندگان
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