The frequency distributions can characterize the population-potential landscape related to the stability of ecological states. We illustrate the practical utility of this approach by analyzing a ...

We consider Markov chains that obey the following general non-linear state space model: Фk + 1 = F (Фk, α(Фk, Uk+1)) where the function F is C¹ while α is typically discontinuous and {Uk: k Є ℤ> 0} is ...

Throughout recorded history, human society has lived with periodic epidemics and pandemics. Numerous disease outbreaks have led to death, societal upheaval, and economic disruption. Predicting how an ...