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Complexity dynamics and simulations in a discrete switching ecosystem induced by an intermittent threshold control
Xin Li Hu1, Wen Jie Qin2, Marco Tosato3
1School of Science, Xi'an Polytechnic University, Xi'an 710048, China.
Mathematical Biosciences and Engineering : MBE
|April 3, 2020
Summary
Integrated pest management (IPM) uses a discrete switching host-parasitoid model with threshold control. This approach analyzes complex dynamics, including chaos, to improve pest control strategies and population balance.
Area of Science:
- Ecology
- Mathematical Biology
- Pest Management
Background:
- Pest control is a global challenge requiring sustainable solutions.
- Integrated Pest Management (IPM) offers environmentally sensitive strategies.
- Understanding population dynamics is crucial for effective pest control.
Purpose of the Study:
- To propose a discrete switching host-parasitoid model for pest control.
- To analyze the complex dynamic behaviors, including bifurcations and chaos.
- To investigate the impact of control parameters and initial conditions on pest control and population balance.
Main Methods:
- Development of a discrete switching host-parasitoid model.
- Qualitative analysis of model dynamics, including bifurcations and chaos.
- Numerical analysis of parameter sensitivity and bifurcations.
Main Results:
- The model exhibits complex dynamics, including single and multi-parameter bifurcations and chaos.
- Key control parameters significantly influence pest control effectiveness.
- Initial population interactions critically affect the dynamical balance between hosts and parasitoids.
Conclusions:
- The proposed model provides insights into the complex dynamics of pest control.
- Threshold control strategies can be optimized by understanding parameter sensitivity.
- The analytical techniques are applicable to other threshold-based control systems.
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