论文信息 - OPTIMAL CONTROL OF HARVESTING IN A PARABOLIC SYSTEM MODELING TWO SUBPOPULATIONS

OPTIMAL CONTROL OF HARVESTING IN A PARABOLIC SYSTEM MODELING TWO SUBPOPULATIONS

An optimal harvesting problem for a parabolic partial differential system modeling two subpopulations of the same species is investigated. The two subpopulations are competing for resources. Under conditions on the smallness of the time interval and certain biological parameters, existence and uniqueness of an optimal control pair are established.

Suzanne Lenhart | S. Lenhart | J. A. Montero

[1] Markus R. Owen,et al. MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS , 1999 .

[2] Mahadev G. Bhat,et al. APPLICATION OF DISTRIBUTED PARAMETER CONTROL MODEL IN WILDLIFE DAMAGE MANAGEMENT , 1992 .

[3] Nicolai V. Krylov,et al. Nonlinear Elliptic and Parabolic Equations of the Second Order Equations , 1987 .

[4] Pierre Magal,et al. Optimal Control of Harvesting in a Nonlinear Elliptic System Arising from Population Dynamics , 2001 .

[5] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[6] Srdjan Stojanovic,et al. Periodic optimal control for competing parabolic Volterra-Lotka-type systems , 1994 .

[7] J. Simon. Compact sets in the spaceLp(O,T; B) , 1986 .

[8] Irena Lasiecka,et al. Differential and Algebraic Riccati Equations With Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory , 1991 .

[9] J. Urbas,et al. NONLINEAR ELLIPTIC AND PARABOLIC EQUATIONS OF THE SECOND ORDER , 1989 .

[10] Suzanne Lenhart. OPTIMAL CONTROL OF A CONVECTIVE-DIFFUSIVE FLUID PROBLEM , 1995 .

[11] J. A. Montero,et al. Study of an Optimal Control Problem for Diffusive Nonlinear Elliptic Equations of Logistic Type , 1998 .

[12] Ovide Arino,et al. Optimal control of a nonlinear elliptic population system , 2000, Proceedings of the Edinburgh Mathematical Society.