Competition Among Immatures Affects Their Adult Fertility: Population Dynamics

Dynamics of experimental populations of native and introduced blowflies (Diptera: Calliphoridae): mathematical modelling and the transition from asymptotic equilibrium to bounded oscillations

“…Therefore, the modelling of the population dynamics has to consider discrete generations and density dependence at the immature stage with a delayed effect on the survival and fecundity of adults. Prout and McChesney (1985) have developed a model that takes into account all these features. This model is based on a finite-difference equation that models the density-dependent dynamics of immatures, eggs or larvae, in succeeding generations, n t + 1 and n t , as a function of the decrease in fecundity (F) and survival (S) with increasing immature (n) density.…”

Population dynamics of Musca domestica (Diptera: Muscidae): experimental and theoretical studies at different temperatures

“…The sample size was 20 females per vial. The following difference equation developed by Prout and McChesney (1985) considers the number of immatures, eggs or larvae, in succeeding generations, n t and n t+1 , and incorporates the variation of the immature density. The model is written as…”

“…Although some studies have been designed to investigate population behaviour in response to temperature, they have focused specifically on geographic variation, genetic divergence and natural selection (Anderson 1972;Huey et al, 1991;Partridge et al, 1994;Santos et al, 1997). In the present study we analyse the theoretical dynamics of M. domestica populations kept at two different temperatures, using a density-dependent mathematical model developed by Prout and McChesney (1985), with all parameters estimated in the laboratory.…”

Sex ratio and dynamic behavior in populations of the exotic blowfly Chrysomya albiceps (Diptera, Calliphoridae)

“…However, there are specific and important mechanisms for blowfly populations, which should be considered in discrete models, such as delayed and function density dependence. A mathematical model developed by Prout and McChesney (1985) has frequently been used to investigate the dynamics of fly populations since it focuses on this point. This model was initially developed to investigate the population dynamics of Drosophila melanogaster (Prout and McChesney, 1985) but was subsequently used to investigate the population dynamics of blowflies (see Godoy et al 1997;Reis et al1996, Godoy et al 2001.…”

“…A mathematical model developed by Prout and McChesney (1985) has frequently been used to investigate the dynamics of fly populations since it focuses on this point. This model was initially developed to investigate the population dynamics of Drosophila melanogaster (Prout and McChesney, 1985) but was subsequently used to investigate the population dynamics of blowflies (see Godoy et al 1997;Reis et al1996, Godoy et al 2001. The application of this model to blowfly experimental populations revealed a two point limit cycle for Chrysomya megacephala, Chrysomya putoria and Chrysomya albiceps (Godoy et al , 2001, three species introduced into Brazil about 30 years ago (Guimarães et al1978(Guimarães et al , 1979.…”