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Role of Quantity of Additional Food to Predators as a Control in Predator–Prey Systems with Relevance to Pest Management and Biological Conservation

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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.

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Authors and Affiliations

  1. Department of Mathematics, Andhra University, Visakhapatnam, 530 003, India

    P. D. N. Srinivasu & B. S. R. V. Prasad

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  1. P. D. N. Srinivasu
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  2. B. S. R. V. Prasad
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Correspondence to P. D. N. Srinivasu.

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This work is supported by CSIR, Govt. of India—sanction no. 25(0159)/08/EMR-II.

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Srinivasu, P.D.N., Prasad, B.S.R.V. Role of Quantity of Additional Food to Predators as a Control in Predator–Prey Systems with Relevance to Pest Management and Biological Conservation. Bull Math Biol 73, 2249–2276 (2011). https://doi.org/10.1007/s11538-010-9601-9

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  • DOI: https://doi.org/10.1007/s11538-010-9601-9

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