Advances in Analysis
An Optimal Control Problem for a Predator-prey Model with a General Monotonic or Non-monotonic Functional Response for Prey
Download PDF (441.4 KB) PP. 227 - 231 Pub. Date: October 20, 2017
Author(s)
- Wensheng Yang*
School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, P. R. China
Fujian Key Laborotary of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou, P. R.
Abstract
Keywords
References
[1] N. C. Apreutesei, An optimal control problem for a prey-predator system with a general functional response, Applied Mathematics Letters 22 (2009) 1062-1065.
[2] F. Brauer, C. Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Springer-Verlag, New York, Berlin, 2000.
[3] J. D. Murray, Mathematical Biology, 3rd ed., Springer-Verlag, Berlin, Heidelberg, New York, 2002.
[4] P. J. Pal, P. K. Mandal, Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington- DeAngelis functional response and strong Allee effect, Mathematics and Computers in Simulation 97 (2014) 123-146.
[5] J. F. Andrews, A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates. Biotechnol. Bioeng, 10(1968) 707-723.
[6] W. Sokol, J. A. Howell, Kinetics of phenol oxidation by washed cells. Biotechnol. Bioeng. , 23(1980) 2039-2049.
[7] V. Barbu, Mathematical Methods in Optimization of Differential Systems, Kluwer Academic Publishers, Dordrecht, 1994.
[8] L. Zhang, B. Liu, Optimal control problem for an ecosystem with two competing preys and one predator, Journal of Mathematical Analysis and Applications 424(1)(2015)201-220.
[9] N. Apreuteseia, G. Dimitriub, R. Strugariua, An optimal control problem for a two-prey and one-predator model with diffusion, Computers and Mathematics with Applications 67(12)(2014)2127-2143.