کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838718 | 908367 | 2006 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production](/preview/png/838718.png)
چکیده انگلیسی
A 4-equation delay differential system representing a bacterial allelopathic competition is analyzed. A distributed delay term models a linear quorum-sensing mechanism which regulates the delayed allelochemicals’ production process. The proved qualitative properties of the solutions are positivity, boundedness, global existence in the future, and uniqueness. Sufficient conditions for local asymptotic stability properties of biologically meaningful steady-state solutions are given in terms of the parameters of the system. The global asymptotic stability of a biologically meaningful steady-state solution is proved by constructing a suitable Lyapunov functional.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 7, Issue 5, December 2006, Pages 1081–1095
Journal: Nonlinear Analysis: Real World Applications - Volume 7, Issue 5, December 2006, Pages 1081–1095
نویسندگان
P. Fergola, E. Beretta, M. Cerasuolo,