Permanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales

الموضوعات : فصلنامه ریاضی

Mahammad Khuddush ¹ , Kapula Rajendra Prasad ² , K. V. Vidyasagar ³

1 - Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, India-530003
2 - Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, India-530003
3 - Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, India-530003

تاريخ الإرسال : 18 الأحد , ربيع الثاني, 1441 تاريخ التأكيد : 07 الإثنين , رجب, 1441 تاريخ الإصدار : 06 الأحد , رجب, 1441

الکلمات المفتاحية: Time scales, commensalism model, almost periodic solution, Uniform asymptotic stability‎,

ملخص المقالة :

In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method.