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Updated: Jun 28, 2026

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Published on: March 1, 2022
The basic reproduction number of plant pathogens: matrix approaches to complex dynamics
F van den Bosch1, N McRoberts, F van den Berg
1Department of Biomathematics and Bioinformatics, Rothamsted Research, Harpenden, UK. Frank.vandenBosch@BBSRC.ac.uk
The basic reproduction number (R0) is crucial for understanding disease spread. This study simplifies R0 calculation for plant pathologists using matrix population models, enhancing disease ecology research.
Area of Science:
- Plant Pathology
- Epidemiology
- Ecology
- Biomathematics
Background:
- The basic reproduction number (R0) quantifies infectious disease transmission.
- R0 is extensively used in human and animal epidemiology but less so in plant pathology.
- Calculating R0 can be complex in intricate systems, posing challenges for plant disease research.
Purpose of the Study:
- To adapt and simplify the calculation of the basic reproduction number (R0) for plant pathology.
- To provide a practical framework for plant pathologists to apply R0 calculations in diverse pathosystems.
- To bridge the gap between general mathematical R0 models and their specific application in plant disease ecology.
Main Methods:
- Utilized a special case of a generic mathematical framework for R0 calculation.
- Employed matrix population models to simplify R0 computation.
- Demonstrated the application of the method through illustrative examples.
Main Results:
- Presented a simplified approach to R0 calculation applicable to plant pathosystems.
- Facilitated the interpretation and application of existing mathematical R0 literature for plant pathologists.
- Enabled R0 estimation in complex plant disease scenarios.
Conclusions:
- The matrix population model approach offers a practical method for calculating R0 in plant pathology.
- This work empowers plant pathologists to better assess and manage plant disease dynamics.
- The study enhances the utility of R0 as a key epidemiological parameter in plant disease research.
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