this paper is concerned with global analysis of a delay sveir epidemiological model in a population of varying size. by using lyapunov stability method and lasalle’s invariance principle for delay systems, we prove that when there is no endemic equilibrium, the disease free equilibrium is globally asymptotically stable, otherwise the endemic equilibrium is globally stable.

ecological destruction in human-dominated landscapes has significant impacts on environment sustainability internationally. landscape planning can play a role in mitigating the effects of human-related activities. one element of landscape planning involves the analysis of the biological, spatial and social arrangement of areas in an urban environment and identifying characteristics that are und...

The neoclassical growth model and the Roback of spatial general equilibrium (SGE) are integrated to study joint determination macroeconomic phenomena (gross domestic product (GDP) rate interest) economic (the distribution gross regional (GRP), employment capital). If internal capital mobility is perfect savings rates homogeneous, GDP depends on SGE, but SGE does not depend GDP. saving spatially...

Spatial heterogeneity, habitat connectivity, and rates of movement can have large impacts on the persistence and extinction of infectious diseases. These factors are shown to determine the asymptotic profile of the steady states in a frequency-dependent SIS (susceptible-infectedsusceptible) epidemic model with n patches in which susceptible and infected individuals can both move between patches...