Global Analysis of the Babesiosis Disease in Bovine and Tick Populations Model and Numerical Simulation with Multistage Modified Sinc Method

• Al-Khaled K (2005) Numerical approximations for population growth models. Appl Math Comput 160:865873

  MathSciNet  Google Scholar 

• Aranda DF, Trejos DY, Valverde JC, Villanueva RJ (2012) A mathematical model for Babesiosis disease in bovine and tick populations. Math Methods Appl Sci 35:249–256

  Article  MathSciNet  MATH  Google Scholar 

• Bock R, Jackson L, de Vos A, Jorgensen W (2004) Babesiosis of cattle. Parasitology 129(Suppl):247–269

  Article  Google Scholar 

• Estrada-Pena A (2001) Forecasting habitat suitability for ticks and prevention of tick-borne diseases. Vet Parasitol 98:111–132

  Article  Google Scholar 

• Li MY, Muldowney JS (1996) A geometric approach to the global-stability problems. SIAM J Math Anal 27(4):1070–1083

  Article  MathSciNet  MATH  Google Scholar 

• Marcelino I, de Almeida AM, Ventosa M, Pruneau L, Meyer DF, Martinez D, Lefranois T, Vachiry N, Coelho AV (2012) Tick-borne diseases in cattle: applications of proteomics to develop new generation vaccines. J Proteom 75(14):4232–50

  Article  Google Scholar 

• Martin RH Jr (1974) Logarithmic norms and projections applied to linear differential systems. J Math Anal Appl 45:432–454

  Article  MathSciNet  MATH  Google Scholar 

• Mosqueda J, Olvera-Ramrez A, Aguilar-Tipacam G, Cant GJ (2012) Current advances in detection and treatment of Babesiosis. Curr Med Chem 19(10):15041518

  Article  Google Scholar 

• Muldowney JS (1990) Compound matrices and ordinary differential equations. Rocky Mount J Math 20:857–872

  Article  MathSciNet  MATH  Google Scholar 

• Narasimhan S, Chen K, Stenger F (1998) A Harmonic sinc solution of the Laplace equation for problems with singularities and semi-infinite domains. Numer Heat Transf B 33(4):33450

  Google Scholar 

• Smith R, Bowers K (1993) Sinc-Galerkin estimation of diffusivity in parabolic problems. Inverse Probl 9:113–135

  Article  MathSciNet  MATH  Google Scholar 

• Stenger F (1993) Numerical methods based on sinc and analytic functions. Springer, NewYork

  Book  MATH  Google Scholar 

• Stenger F (2011) Handbook of sinc numerical methods. CRC Press, Boca Raton

  MATH  Google Scholar 

• Stenger F, O’Reilly MJ (1998) Computing solutions to medical problems via sinc convolution. IEEE Trans Autom Control 43(6):843848

  Article  Google Scholar 

• Van den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180:29–48

  Article  MathSciNet  MATH  Google Scholar 

• Wang L, Li MY (2006) Mathematical analysis of the global dynamics of a model for HIV infection of \(CD4^{+}\) T cells. Math Biosci 200:44–57

  Article  MathSciNet  MATH  Google Scholar 

• Winnter DF, Bowers KL, Lund J (2000) Wind-driven currents in a sea with variable Eddy viscosity calculated via a sinc-Galerkin technique. Int J Numer Methods Fluids 33:10411073

  MathSciNet  Google Scholar 

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