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

作者：Wang, Lin-Lin; Fan, Yong-Hong^*

来源：Applied Mathematics and Computation, 2011, 217(23): 9552-9561.

DOI：10.1016/j.amc.2011.04.010

• Predator-prey model
• Functional response
• Positive periodic solution
• Generalized continuation theorem

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
x'(t) = x(t)[r(t) - a(t)x(t)] - b(t)x(t)/m+x(t) y(t) - h(1)(t),
y'(t) = y(t)[c(t)x(t tau(t))/m+x(t-tau(t)) - d(t)] - h(2)(t)
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.

• 出版日期2011-8-1
• 单位鲁东大学