## Abstract In this paper, a ratio‐dependent predator–prey model with stage structure and harvesting is investigated. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence and stability are performed. By constructing appropriate Lyapu
A bioeconomic model of a ratio-dependent predator-prey system and optimal harvesting
✍ Scribed by T. K. Kar; Swarnakamal Misra; B. Mukhopadhyay
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 214 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1598-5865
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📜 SIMILAR VOLUMES
This paper deals with the existence and nonexistence of nonconstant positive steady-state solutions to a ratio-dependent predator-prey model with diffusion and with the homogeneous Neumann boundary condition. We demonstrate that there exists a 0 (b) satisfying 0 < a 0 (b) < m 1 for 0 < b < m 1 , suc
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system in a periodic environment.