Multiple periodic solutions for a non-autonomous delayed predator‐prey model with harvesting terms

By using the generalized continuation theorem, the existence of at least two positive periodic solutions for a non‐autonomous delayed periodic predator–prey model with harvesting $\left\{\begin{array}{c}{x}^{\text{'}}(t)=x(t)[r(t)‐a(t)x(t)]‐\frac{b(t)x(t)}{m+x(t)}y(t)‐h_1(t)\text{,}\hfill \\ y^{\text{'}}(t)=y(t)\left[\frac{c(t)x(t‐t(t))}{m+x(t‐t(t))}‐d(t)\right]‐h_2(t)\hfill \end{array}\right.$ is established. The method used here is more convenient than Mawhin’s continuation theorem. And the main results show that the harvesting terms consult in the additional periodic solution.