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A stage structured prey predator system with modified Leslie-Gower scheme is presented, where both maturation delay for prey and gestation delay for predator are considered. Positivity and boundedness of solutions are discussed. By analyzing the associated characteristic transcendental equation, combined dynamic effects of stage structure and double time delays on population dynamics are discussed,...
A delayed predator-prey model with stage structure is investigated. The linear stability of the system is discussed and Hopf bifurcations are established by using the normal form theory and center manifold theorem. Formula determining the direction of bifurcations and the stability of bifurcating periodic solutions are given. Numerical simulations are carried out to illustrate the theoretical results.
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