in this paper, a five–dimensional mathematical model is proposed for the transmission dynamics of hiv/aids within a population of varying size. in writing the model, we have divided the population under consideration into five sub classes of susceptible, infective, pre-aids, aids related complex and that of aids patients. the model has two non- negative equilibria namely, a disease free and the...

background : the population of mosquitoes is mainly influenced by the biotic and abiotic factors. although aedes aegypti was reported until 1960’s in the punjab, pakistan, the population has increased dramatically since 2009 and caused severe epidemics in 2011 due to heavy floods and rains. thus, this study was carried out to know the effect of biotic and abiotic factors on the population of ae...

This work presents a discrete time model for the dynamics of a size-classified benthic population with planktonic larvae. Recruitment, decoupled from local reproduction by larval dispersal, is represented in the model as an external subsidy to the local population. Analysis of the model reveals the importance of recruitment and growth plasticity in determining the stability of an equilibrium wh...

The impact of the presence of risk of destructive event on the silvicultural practice of a forest stand is investigated. For that, we consider a model of population dynamics. This model has allowed us to make the comparison without and with risk, and highlight the influence of the presence of risk of destructive event on optimal thinning and optimal rotation period.

Several predator species at risk of extinction in Southwestern Europe are dependent on the population density of European wild rabbits Oryctolagus cuniculus. Rabbit populations in the region, however, have recently undergone dramatic decreases in population density, which may be exacerbated by hunting. Current hunting policies set the autumn–winter season, just before the start of rabbit reprod...