Trends in theoretical plant epidemiology

Scherm, H.; Ngugi, Henry K.; Ojiambo, P. S.

doi:10.1007/1-4020-5020-8_5

Cited by 13 publications

(9 citation statements)

References 93 publications

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“…The second analysis concerned with the global stability of the coexistence equilibria and has been performed with the geometric approach to global stability [31]. Both the used methods are nowadays extensively applied in the analysis of epidemic models for human/animal disease (see for example [2,7,8,9,10,36,38,40] Figure 3: Two-dimensional phase is plotted for system (9) with linear inhibition (Case II), obtained by using the following parameters (from [21]): γ 0 = 0.5, µ = 2, β s = 0.4, c = 0.1, β p = 0.8. Here R 0 > 1 and system (9) has two steady state solutions E 0 and E 1 .…”

Section: Discussionmentioning

confidence: 99%

Stability and bifurcation in plant–pathogens interactions

Buonomo¹,

Cerasuolo²

2014

Applied Mathematics and Computation

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We consider a plant-pathogen interaction model and perform a bifurcation analysis at the threshold where the pathogen-free equilibrium loses its hyperbolicity. We show that a stimulatory-inhibitory host response to infection load may be responsible for the occurrence of multiple steady states via backward bifurcations. We also find sufficient conditions for the global stability of the pathogen-present equilibrium in case of null or linear inhibitory host response. The results are discussed in the framework of the recent literature on the subject.

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Section: Discussionmentioning

confidence: 99%

Stability and bifurcation in plant–pathogens interactions

Buonomo¹,

Cerasuolo²

2014

Applied Mathematics and Computation

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“…Their analysis of synoptic‐level patterns of air flow and simple assumptions of environmental conditions for infection accounted for the recent epidemics in these western regions. Epidemiological models (see M adden 2006; S cherm et al. 2006), along with local knowledge, are important tools for assessing silvicultural options at specific locations, including deploying or promoting inherited resistance.…”

Section: Pathology and Ecologymentioning

confidence: 99%

White pines, Ribes, and blister rust: a review and synthesis

2010

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For over a century, white pine blister rust (Cronartium ribicola) has linked white pines (Strobus) with currants and gooseberries (Ribes) in a complex and serious disease epidemic in Asia, Europe, and North America. Because of ongoing changes in climate, societal demands for forests and their amenities, and scientific advances in genetics and proteomics, our current understanding and management of the white pine blister rust pathosystem has become outdated. Here, we present a review and synthesis of international scope on the biology and management of blister rust, white pines, Ribes, and other hosts. In this article, we provide a geographical and historical background, describe the taxonomy and life cycle of the rust, discuss pathology and ecology, and introduce a series of invited papers. These review articles summarize the literature on white pines, Ribes, and blister rust with respect to their status, threats, and management through genetics and silviculture. Although the principal focus is on North America, the different epidemics in Europe and Asia are also described. In the final article, we discuss several of the key observations and conclusions from the preceding review articles and identify prudent actions for research and management of white pine blister rust.

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“…The current study addresses plot geometry in the context of the velocity of epidemic spread, a topic of significant current and historical interest in plant disease epidemiology (Zadoks, 2001; Scherm et al ., 2006). Velocity and epidemic velocity as used here are equivalent to the term isopathic velocity , which was introduced by Berger & Luke (1979) to quantify disease spread in focal plant epidemics, an isopath being defined as a contour in space of constant disease level.…”

Section: Introductionmentioning

confidence: 99%

Effect of plot geometry on epidemic velocity of wheat yellow rust

Sackett

Mundt

2009

Plant Pathology

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The size and shape of field plots can impact on both the cost and outcome of epidemiological experiments. In previous studies, epidemic velocity of yellow rust (caused by Puccinia striiformis f.sp. tritici ) on wheat ( Triticum aestivum ) has been examined in long, narrow plots (6·1 m by 73-171 m). The present study compares spread in square, 61 × 61 m plots versus narrow, 6·1 × 61 m plots at two locations. The objective was to test whether plot shape has a substantial impact on spatiotemporal spread of yellow rust. Velocity increased curvilinearly with time for both plot shapes and at both locations. Curves of epidemic velocity versus time were nearly identical in square versus narrow plots in both the upwind and downwind directions. Contrary to expectation based on simulations, the results did not indicate faster disease spread in square plots, though the plot sizes studied may be beyond that at which there is a rapid change of disease increase with increasing plot area. Velocity also increased curvilinearly in all eight compass directions of the square plots. Results indicate that narrow plots, which are substantially less costly than equidimensional plots, may be justified for studying the spatiotemporal spread of wheat yellow rust and other diseases with similar epidemiological characteristics.

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Trends in theoretical plant epidemiology

Cited by 13 publications

References 93 publications

Stability and bifurcation in plant–pathogens interactions

Stability and bifurcation in plant–pathogens interactions

White pines, Ribes, and blister rust: a review and synthesis

Effect of plot geometry on epidemic velocity of wheat yellow rust

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