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Multiple time lags can occur very naturally in the study of population dynamics. In this paper, we study two forms of the delay logistic equation with two discrete time delays. For both the models, we identify the condition for the first local Hopf bifurcation. For our analysis, we employ a non-dimensional bifurcation parameter. Using Poincaré normal forms and the center manifold theory, we also conduct...
Models that describe interactions between species are often used to study the dynamics of populations in an ecosystem. In this paper we focus on one such model, i.e. a time delayed version of the Lotka-Volterra dynamical system. In particular, we study the effects of time delays in, (i) the interspecies interactions and, (ii) the carrying capacity of the prey population, on the system dynamics. In...
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