Time lags and density dependence in age dependent two species competition

Abstract

Sufficient conditions are obtained for the existence and linear stability of time independent age distributions in two species competition with age and time lagged density dependent mortality and fertility functions. Let P.(t) and P^[t) denote the total population sizes (or biomasses) at time t 5 0 of two interacting species living in a common habitat and competing for a common pool of resources. The competition for resources will be implicit in our model similar to that in the two species Lotka-Volterra competition system. Assuming constant sex ratios in the two species we can consider P (fc) and PAt) Introductionto be the population of females only; immigration, emigration and internal dispersion in the habitat are assumed to play no significant role in the dynamics of the community.We suppose that the two species contain respectively P, (a, t)da and pAa, t)da individuals with ages between a and a + da (a > 0) at time t so that we haveReceived 13 October 198l. .available at https://www.cambridge.org/core/terms. https://doi