Optimal Control Applied to Biological Models

By S. Lenhart, J. Workman. 2007

2,057 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9ffa83d755ae27ca2fa38d50b75b709e5554923d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. B. Gomero
2. Tapan Kumar Kar
3. Soovoojeet Jana
4. Yong Han Kang
5. Il Hyo Jung
6. Gul Zaman

In Statistical and Nonlinear Physics

1. B. Gomero
2. Tapan Kumar Kar
3. Soovoojeet Jana
4. Yong Han Kang
5. Il Hyo Jung
6. Gul Zaman

Citations in the corpus

• A mathematical study of a prey–predator model in relevance to pest control (2013, methodology): “If this feasible control exists then it is known to be the optimal control (for further details see Clark [43], Lenhart and Workman [44] etc.”
• Latin Hypercube Sampling and Partial Rank Correlation Coefficient Analysis Applied to an Optimal Control Problem (2012, methodology): “characterization, the state system of differential equations and the adjoint systems of differential equations can be solved numerically using the forward-backward sweep method [17].”
• Stability analysis and optimal vaccination of an SIR epidemic model (2008, methodology): “To find the optimal solution, we apply the Pontryagin’s Maximum Principle (Lenhart and Workman, 2007; Morton and Nancy, 2000) to the Hamiltonian”