Missouri State University

Research

 

My areas of research include: numerical analysis, dynamical systems, matrix computations,

and applied mathematics in general.

 

Selected Publications:

 

  • Global stability analysis of a general model of Zika virus.

        Accepted. To appear in Nonautonomous Dynamical Systems (2019)

 

  • On a general model for multi-patch waterborne disease epidemics.

        Chaos, Solitons & Fractals  120: 56-61 (2019)

 

  • A graph-theoretic method in global analysis of Zika virus dynamics

        Diff. Eq. & Dyn. Syst 1 - 16 (2017)

 

  • Dynamics of a networked connectivity model of epidemics.

       [Discr. & Cont. Dyn.Systems - Series B]   21 3379 - 3390 (2016)

 

  • Global stability analysis of a networked connectivity model of disease epidemics.

        [Dynam. Cont. Discr. Impuls. Systems]  23: 239-250 (2016)

 

  • Approximate controllability of semilinear impulsive strongly damped wave equation.

         [J. of Applied Analysis.]  21: 45-57 (2015)

 

  • Dynamics of predator-prey models with refuge, harvesting, and dispersal. 

         [Quaestiones Mathematicae.] 38: 369-383 (2014)

 

  • Bifurcations and periodic orbits in variable population interactions.
    [Comm. Pure & Appl. Anal.]  12: 2997-3012 (2013)

  • Approximate controllability of a damped wave equation.
    [Canad. Appl. Math. Quart.]  20: 405-419 (2012)
  • Dynamics of transitions in population interactions.
    [Nonl. Anal.: Real World Appl.]  13: 1268 - 1277 (2012)
  • Dynamics of prey threshold harvesting and refuge.

          [J. Comput. & Appl. Math.]  236: 1743 - 1752 (2012) 

  • Regularized evolution operators and applications.
    [J. Math. Contr. Sci. & Appl.]  4: 33-51(2011)
  • Analysis of predator-prey models with continuous threshold harvesting.

          [Appl. Math. & Comput.] 217: 5265-5278 (2011) 

  • Continuous threshold prey harvesting in predator-prey models.

          [Int. J. Comput. & Math. Sci.] 5: 111-118 (2011)

  • Multiple nonlinear eigenvalues of smooth rank-deficient matrices.

           [Int. J. Num. Anal. & Model.] 1: 109-122 (2010)

  • Nonconstant predator harvesting on ratio-dependent predator-prey models

          [Appl. Math. Sci.]  4 : 791-803 (2010)

  • Accelerating PageRank computation

          [Internet Math.] 6 : 29-43 (2009)

  • On a model of American cutaneous leishmaniasis

          [G. J. Pure & Appl. Math.  5: 263-275 (2009)

  • A necessary and sufficient algebraic condition for the controllability of a strongly damped wave equation

          [J. Math. Sci.] 2 : 223-242 (2008)

  • Dynamics of a ratio-dependent predator-prey model with noncostant harvesting
    [Disc. & Cont. Dynam. Syst.-S]  1 : 303-315 (2008)
  • From a KKM theorem to Nash equilibria in L spaces
    [Topol. & its Appl.]
      155 : 165-170 (2007)
  • Smooth Schur factorizations in the continuation of separatrices
    [Lin. Alg. & its Appl.] 421 : 138-156 (2007)
  • Computing traveling waves via an algorithm for connecting orbits
    [Comm. Appl. Nonl. Anal.] 13 : 43-59 (2006)
  • Uniformly Distributed Points on the Sphere
    [Comm. Pure & Applied Anal.] 4 : 389-403 (2005)
  • Point-to-Periodic and Periodic-to-Periodic Connections
    [BIT Numer. Math.] 44 : 41-62 (2004)
  • Grouping Problem in Networks 
  • Optimization of a Waste Water Management System 

 

  •  Important Announcement: REU 2018 at MSU

 

Under Construction

gears