摘要:A ratio-dependent predator-prey system with Holling type III functional
response and feedback controls is proposed. By constructing a suitable Lyapunov
function and using the comparison theorem of difference equation, sufficient
conditions which ensure the permanence and global attractivity of the system are
obtained. After that, under some suitable conditions, we show that the predator
species 𝑦 will be driven to extinction. Examples together with their numerical
simulations show that the main results are verifiable.