On an upper bound for the spreading speed
Copyright policy )On an upper bound for the spreading speed
<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>
exponontial transform, Ecology, integro-differential equation, travelling wave, integrodifference equations, [MATH] Mathematics [math], integro-differential equations, Integro-partial differential equations, Population dynamics (general), spreading speeds, reaction-diffusion equations, Reaction-diffusion equations, Integrodifference equations, reaction-diffusion equation, Exponontial transform
exponontial transform, Ecology, integro-differential equation, travelling wave, integrodifference equations, [MATH] Mathematics [math], integro-differential equations, Integro-partial differential equations, Population dynamics (general), spreading speeds, reaction-diffusion equations, Reaction-diffusion equations, Integrodifference equations, reaction-diffusion equation, Exponontial transform
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