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| Content Provider | Springer Nature Link |
|---|---|
| Author | Srinivasu, P. D. N. Prasad, B. S. R. V. |
| Copyright Year | 2010 |
| Abstract | 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. |
| Starting Page | 2249 |
| Ending Page | 2276 |
| Page Count | 28 |
| File Format | |
| ISSN | 00928240 |
| Journal | Bulletin of Mathematical Biology |
| Volume Number | 73 |
| Issue Number | 10 |
| e-ISSN | 15229602 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2010-11-09 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Biological control Additional food Quality Quantity Predator Prey Conservation Pest eradication Optimal time Mayer problem Bang–bang Multiple switches Mathematical and Computational Biology Cell Biology Life Sciences |
| Content Type | Text |
| Resource Type | Article |
| Subject | Neuroscience Biochemistry, Genetics and Molecular Biology Mathematics Pharmacology Immunology Computational Theory and Mathematics Environmental Science Agricultural and Biological Sciences |
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