Journal
BULLETIN OF MATHEMATICAL BIOLOGY
Volume 73, Issue 10, Pages 2249-2276Publisher
SPRINGER
DOI: 10.1007/s11538-010-9601-9
Keywords
Biological control; Additional food; Quality; Quantity; Predator; Prey; Conservation; Pest eradication; Optimal time; Mayer problem; Bang-bang; Multiple switches
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Funding
- CSIR, Govt. of India [25(0159)/08/EMR-II]
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Necessity to understand the role of additional food as a tool in biological control programs is being increasingly felt, particularly due to its eco-friendly nature. A thorough mathematical analysis in this direction revealed the vital role of quality and quantity of the additional food in the controllability of the predator-prey systems. In this article controllability of the additional food-provided predator-prey system is studied from perspectives of pest eradication and biological conservation. Time optimal paths have been constructed to drive the state of the system to a desired terminal state by choosing quantity of the additional food as control variable. The theory developed in this article has been illustrated by solving problems related to pest eradication and biological conservation.
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