کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838234 908356 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A two species competition model under the simultaneous effect of toxicant and disease
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A two species competition model under the simultaneous effect of toxicant and disease
چکیده انگلیسی

A mathematical model is proposed to study the simultaneous effects of toxicants and infectious diseases on a competing species system. It is assumed that the competing populations are adversely affected by the toxicant and one of them is vulnerable to an infectious disease. In this paper, two models are studied separately. The first model is developed to study the effect of only infectious diseases on the existence of a two competing species system in the absence of a toxicant, whereas in the second model the presence of a toxicant is also taken into account. In both the models, conditions for the existence of interior equilibria are derived. The models are analyzed using stability theory, and conditions for the nonlinear stability of the interior equilibria are obtained using Lyapunov’s direct method. Further, the models are studied numerically by taking two sets of numerical values for each model and the results are compared.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 2, April 2010, Pages 1131–1142
نویسندگان
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