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With a reaction-diffusion system, we consider the dispersing two-species
Lotka-Volterra model with a temporally periodic interruption of the interspecific
competitive relationship. We assume that the competition coefficient becomes a given
positive constant and zero by turns periodically in time. We investigate the condition
for the coexistence of two competing species in space, especially in the bistable case
for the population dynamics without dispersion. We could find that the spatial coexistence,...
Although age-related heterogeneity of infection has been addressed in various
epidemic models assuming a demographically stationary population, only a few studies have
explicitly dealt with age-specific patterns of transmission in growing or decreasing population.
To discuss the threshold principle realistically, the present study investigates an age-duration-structured SIR epidemic model assuming a stable host population, as the first scheme to
account for the non-stationality of the host population....
We consider a system of delay differential equations modelling the tumor-immune system competition with negative immune response and three positive stationary points. The dynamics of the first two positive solutions are studied in terms of the local stability. We are particularly interested in the study of the Hopf bifurcation problem to predict the occurrence and stability of a limit cycle bifurcating from the second positive stationary point, when the delay (taken as a parameter) crosses some...
Tuberculosis is the leading cause of death due to infectious diseases in the world today,
and it is increasing due to co-infection with HIV-1, the causative agent of AIDS. Here, we
examine the impact that HIV-1 infection has on persons with latent tuberculosis. Based on previous
work, we develop a mathematical model of an adaptive immune response in the lung which
considers relevant immune effectors such as macrophages, various sub-populations of T-cells, and
key cytokines to predict which mechanisms...
We show how results by Diekmann et al. (2007) on the qualitative behaviour of solutions
of delay equations apply directly to a resource-consumer model with age-structured consumer
population.
A time-discrete 2-sex model with gestation period is analysed. It is significant that the conditions for local stability of a nontrivial steady state do not require that the expected number of female offspring per female equal unity. This is in contrast to results obtained by Curtin and MacCamy [4] and the author [10].
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