The effects of disease dispersal and host clustering on the epidemic threshold in plants.

نویسندگان

  • David H Brown
  • Benjamin M Bolker
چکیده

For an epidemic to occur in a closed population, the transmission rate must be above a threshold level. In plant populations, the threshold depends not only on host density, but on the distribution of hosts in space. This paper presents an alternative analysis of a previously presented stochastic model for an epidemic in continuous space (Bolker, 1999, Bull. Math. Biol. 61, 849-874). A variety of moment closures are investigated to determine the dependence of the epidemic threshold on host spatial distribution and pathogen dispersal. Local correlations that arise during the early phase of the outbreak determine whether a true global epidemic will occur.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ON THE STABILITY AND THRESHOLD ANALYSIS OF AN EPIDEMIC MODEL

We consider a mathematical model of epidemic spread  in which the  population  is partitioned  into five compartments of susceptible S(t), Infected I(t), Removed R(t), Prevented U(t) and the Controlled W(t). We assume each of the compartments comprises of cohorts of individuals which are  identical with respect to the disease status. We derive five systems of equations to represent each of the ...

متن کامل

A review on West African Ebola epidemic dynamics models

Background and aims: The world is threatened by disease outbreak that reaches a public health emergency of international concern, studies to inform public and agencies for effective containment strategy are necessary. Several studies provided vital information of the dynamics and control of Ebola epidemic outbreak in West Africa. Methodologies and techniques in those researches...

متن کامل

The effects of host plants on the feeding indices and chemical activities of elm leaf beetle, Xanthogaleruca luteola (Muller) (Coleoptera: Chrysomelidae)

ABSTRACT- Elm leaf beetle (ELB), Xanthoga leruca luteola (Muller), is considered as one of the most important and destructive phytophagous pests of Ulmus species in the north of Iran. In the current study, the effects of three host plants including Ulmus carpinifolia, U. carpinifolia var. umbraculifera, and Zelkova carpinifolia, on feeding indices and biochemical processes of ELB were examined ...

متن کامل

Dispersal patterns of endogenous bacteria among grass carp (Ctenopharyngodon idellus) guts

The formation and regulation of vertebrate endogenous intestinal microbiota has been widely studied as the microbiota plays a crucial role in the host nutrition, development, and health. Despite the importance of microbiota for host health, it is still unclear whether the endogenous intestinal microorganisms are genetically distinct or whether they are genetically related with each other in dif...

متن کامل

Dispersal patterns of endogenous bacteria among grass carp (Ctenopharyngodon idellus) guts

The formation and regulation of vertebrate endogenous intestinal microbiota has been widely studied as the microbiota plays a crucial role in the host nutrition, development, and health. Despite the importance of microbiota for host health, it is still unclear whether the endogenous intestinal microorganisms are genetically distinct or whether they are genetically related with each other in dif...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Bulletin of mathematical biology

دوره 66 2  شماره 

صفحات  -

تاریخ انتشار 2004