CAJ | 학술논문

本文研究了一类在齐次Dirichlet边界条件下带有传染病的捕食‐食饵模型。利用上下解方法得到了正解的先验估计；借助分歧理论，以扩散系数 d为分歧参数，构造了发自半平凡解（d；θr ，0）处的平衡解分支，从而给出了模型平衡态正解的存在性。
본문연구료일류재제차Dirichlet변계조건하대유전염병적포식‐식이모형。이용상하해방법득도료정해적선험고계；차조분기이론，이확산계수 d위분기삼수，구조료발자반평범해（d；θr ，0）처적평형해분지，종이급출료모형평형태정해적존재성。
A prey‐predator model with infectious disease subjected to homogeneous Dirichlet boundary condition is studied .By using upper and lower solution method ,a priori estimates of positive solutions is got .By means of the bifurcation theory ,steady‐state solutions bifurcating from the semi trivial solution (d;θr ,0) are given by treating the diffusion coefficient d as the bifurcation parameter ,which implies the existence of steady‐state solutions .