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Dynamic bifurcation theory of Rayleigh-Bénard convection with infinite Prandtl number
Analysis of a nonlinear system for community intervention in mosquito control
| 1. | Department of Mathematics, Bentley College, 175 Forest Street, Waltham, MA 02452, United States |
| 2. | Department of Population and International Health, Harvard School of Public Health, 665 Huntington Avenue, Boston, MA 02115, United States, United States |
$x_{n+1}= a x_{n}h(p y_{n})+b h(q y_{n})$
n=0,1,...
$y_{n+1}= c x_{n}+d y_{n}$
where the function $h\in C^{1}$ ( [ $0,\infty$) $\to $ [$0,1$] ) satisfying certain properties, will denote either $h(t)=h_{1}(t)=e^{-t}$ and/or $h(t)=h_{2}(t)=1/(1+t).$ We give conditions in terms of parameters for boundedness and stability. This enables us to explore the dynamics of prevalence/community-activity systems as affected by the range of parameters.
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