Different types of backward bifurcations due to density-dependent treatments

Different types of backward bifurcations due to density-dependent treatments

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A set of deterministic SIS models with density-dependent treatments are studied to understand the disease dynamics when different treatment strategies are applied.Qualitative analyses are carried out in terms of bekindtopets.com general treatment functions.It has become customary that a backward bifurcation leads to bistable dynamics.However, this study finds that finds that bistability may not be an option at all; the disease-free equilibrium could be globally stable when there is a backward bifurcation.Furthermore, when a backward bifurcation occurs, the fashion of bistability could be the coexistence of either dual stable equilibria or the disease-free equilibrium and a stable limit cycle.

We also extend the formula for mean infection period from density-independent treatments to density-dependent ones.Finally, the modeling results are applied to the transmission of gonorrhea in China, suggesting that these gonorrhea patients may sukrensi.com not seek medical treatments in a timely manner.