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Applications of biological control in resistant host-pathogen systems
Steven M White1, K A Jane White
1Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK. whites@maths.ox.ac.uk
Mathematical Medicine and Biology : a Journal of the IMA
|March 24, 2005
Summary
Biological control agents can lead to insect pest resistance. This study models host-pathogen dynamics, showing resistance proportion impacts pest viability and population levels.
Area of Science:
- Ecology
- Mathematical Biology
- Agricultural Science
Background:
- Insect pests cause significant crop damage, traditionally managed with chemical insecticides.
- Overuse of chemical insecticides raises environmental and health concerns, prompting research into alternative pest control methods.
- Biological control agents are promising alternatives, but can inadvertently select for resistant insect pest strains.
Purpose of the Study:
- To develop a discrete-time host-pathogen model analyzing the interaction between insect pests and biological control agents.
- To investigate how the development of resistance in insect pest populations affects their viability and population dynamics.
- To explore the ecological trade-offs influencing host-pathogen interactions under varying resistance levels.
Main Methods:
- A discrete-time mathematical model was formulated to represent the host (insect pest) and pathogen (biological control) interaction.
- The model utilizes a single-state variable to describe the host population dynamics.
- Analysis focused on the impact of the proportion of resistance within the host population on population viability and levels.
Main Results:
- The proportion of resistance in the insect pest population significantly influences its overall viability.
- When the host population persists, its susceptibility and population density are intricately linked.
- Ecological explanations for observed scenarios involve trade-offs in intrinsic growth rates, disease susceptibility, and intraspecific competition.
Conclusions:
- Biological control strategies must consider the potential for inducing resistance in pest populations.
- Mathematical modeling provides valuable insights into the complex dynamics of host-pathogen systems in pest management.
- Understanding resistance evolution is crucial for developing sustainable and effective insect pest control strategies.