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L. Arriola and J. Hyman, “Lecture notes, forward and adjoint sensitivity analysis: with applications in Dynamical Systems, Linear Algebra and Optimisation,” Mathematical and Theoretical Biology Institute, 2005.

has been cited by the following article:

• TITLE: Impact of Vaccination and Culling on Controlling Foot and Mouth Disease: A Mathematical Modelling Approach

  AUTHORS: Steady Mushayabasa, Claver P. Bhunu, Mlamuli Dhlamini

  KEYWORDS: Foot and Mouth Disease, Vaccination, Culling, Reproductive Number, Numerical Simulations

  JOURNAL NAME: World Journal of Vaccines, Vol.1 No.4, November 24, 2011

  ABSTRACT: Foot and mouth disease (FMD) is a major threat, not only to countries whose economies rely on agricultural exports, but also to industrialized countries that maintain a healthy domestic livestock industry by eliminating major infectious diseases from their livestock populations. In this paper a simple mathematical model is formulated and comprehensively analyzed to assess the impact of vaccination and culling on controlling FMD. Overally the study demonstrates that vaccination and culling are essential on controlling FMD if they are all implemented. Furthermore the study illustrates that culling latently infected (early detection of infected animals) is extremely important on controlling FMD dynamics.