Reducible Epidemics: Choosing Your Saddle

Radcliffe, J.; Rass, Linda

doi:10.1216/rmjm/1181072587

Cited by 5 publications

(2 citation statements)

References 6 publications

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“…Remark 6. Rather than the speed via level sets, Radcliffe and Rass [37,38] considered the speed of spread of the forward tail of a population, defined as lim t→∞ x t (ξ)/t, where…”

Section: Somentioning

confidence: 99%

“…Our results coincide with the results obtained in other studies dealing with asymptotic spreading speeds. The steepest descent method has been used to approximate the solutions of linear unstructured and structured models in order to calculate the asymptotic speed of propagation from these approximations [37,38,39,17,20]. With the obtained upper bound, these approximations are not necessary to compute the speed for these models as seen in the examples.…”

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confidence: 99%

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On an upper bound for the spreading speed

Mesk¹,

Moussaoui²

2021

DCDS-B

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<p style='text-indent:20px;'>In this paper, we use the exponential transform to give a unified formal upper bound for the asymptotic rate of spread of a population propagating in a one dimensional habitat. We show through examples how this upper bound can be obtained directly for discrete and continuous time models. This upper bound has the form <inline-formula><tex-math id="M1">\begin{document}$ \min_{s>0} \ln (\rho(s))/s $\end{document}</tex-math></inline-formula> and coincides with the speeds of several models found in the literature.</p>

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“…Remark 6. Rather than the speed via level sets, Radcliffe and Rass [37,38] considered the speed of spread of the forward tail of a population, defined as lim t→∞ x t (ξ)/t, where…”

Section: Somentioning

confidence: 99%

mentioning

confidence: 99%