Optimal Control for Lotka-Volterra Systems with a Hunter Population

1. Apreutesei, N.: An optimal control problem for Lotka-Volterra system with diffusion. Bul. Inst. Polytechnic Iaşi 41(48), fasc. 1–2, 31–41 (1998)

   MATH  Google Scholar 

2. Apreutesei, N.: Necessary optimality conditions for a Lotka-Volterra three species system. Math. Modelling Natural Phen. 1(1), 123–135 (2006)

   MathSciNet  MATH  Google Scholar 

3. Barbu, V.: Mathematical Methods in Optimization of Differential Systems. Kluwer Academic Publishers, Dordrecht (1994)

   Book  MATH  Google Scholar 

4. Brauer, F., Castillo-Chavez, C.: Mathematical Models in Population Biology and Epidemiology. Springer, Berlin (2000)

   MATH  Google Scholar 

5. Haimovici, A.: A control problem related to a Volterra prey- predator system. In: Anal. Ştiinţ. Univ. Al. I. Cuza Iaşi, Supliment la tomul 25, s. I, pp. 33–41 (1979)

   Google Scholar 

6. Haimovici, A.: A control problem for a Volterra three species system. Mathematica — Revue d’Analyse Numérique et de Théorie de l’Approx 23(46),(1) 35–41 (1980)

   MathSciNet  MATH  Google Scholar 

7. Murray, J.D.: Mathematical Biology, 3rd edn. Springer, Berlin (2002)

   MATH  Google Scholar 

8. Sussmann, H.: A bang-bang theorem with bounds on the number of switchings. SIAM J. Control Optimization 17, 629–651 (1979)

   Article  MathSciNet  MATH  Google Scholar 

9. Sussmann, H.: Bounds on the number of switchings for trajectories of piecewise analytic vector fields. J. Differ. Equations 43, 399–418 (1982)

   Article  MathSciNet  MATH  Google Scholar 

10. Yosida, S.: An optimal control problem of the prey-predator system. Funck. Ekvacioj 25, 283–293 (1982)

    MathSciNet  MATH  Google Scholar 

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