EXISTENCE OF NON-CONSTANT POSITIVE SOLUTIONS FOR A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DISEASE IN THE PREY

• 발행기관: 충청수학회
• 저자명: Kimun Ryu
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 31, No. 1, 75~87쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2018.02.28

영문 초록

In this paper, we consider ratio-dependent predator-prey models with disease in the prey under Neumann boundary condition. We investigate sufficient conditions for the existence and non-existence of non-constant positive steady-state solutions by the effects of the induced diffusion rates.

목차

1. Introduction

2. Preliminaries

3. Positive coexistence of (1.2)