The work of Glenn F. Webb

Representation of nonlinear nonexpansive semi-groups of transformations in Banach spaces,, J. Math. Mech., 19 (1969),159. 

Nonlinear evolution equations and product integration in Banach spaces,, Trans. Amer. Math. Soc., 148 (1970),273. 

Product integral representation of time dependent nonlinear evolution equations in Banach spaces,, Pacific J. Math., 32 (1970),269.  doi: 10.2140/pjm.1970.32.269.

Nonlinear evolution equations and product stable operator on Banach spaces,, Trans. Amer. Math. Soc., 155 (1971),409.  doi: 10.1090/S0002-9947-1971-0276842-9.

Continuous nonlinear perturbations of linear accretive operators in Banach spaces,, J. Functional Analysis, 10 (1972),191.  doi: 10.1016/0022-1236(72)90048-1.

Dual spaces of spaces of quasi-continuous functions,, Mathematische Nachrichten, 55 (1973),309.  doi: 10.1002/mana.19730550118.

Nonlinear perturbation of linear accretive operators in Banach spaces,, Israel J. Math., 12 (1972),237.  doi: 10.1007/BF02790750.

Accretive operators and existence for nonlinear functional differential equations,, J. Differential Equations, 14 (1973),57.  doi: 10.1016/0022-0396(73)90076-4.

Autonomous nonlinear functional differential equations and nonlinear semigroups,, J. Math. Anal. Appl., 46 (1974),1.  doi: 10.1016/0022-247X(74)90277-7.

Abstract scattering for nonlinear evolution equations,, Math. Systems Theory, 8 (1974),347.  doi: 10.1007/BF01780581.

An application of accretive operator theory to a nonlinear complex heat equation,, Bollettino dell Unione Mathematica ltaliana, 11 (1975),604. 

(with H. Riedl), Relative boundedness conditions and the perturbation of nonlinear operators, Czechoslovak Math. J., 24 (1974), 395-418.

(with C. Travis), Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc., 200 (1974), 395-418.doi: 10.1090/S0002-9947-1974-0382808-3.

Asymptotic stability for abstract nonlinear functional differential equations,, Proc. Amer. Math. Soc., 54 (1976),225.  doi: 10.1090/S0002-9939-1976-0402237-0.

Functional differential equations and nonlinear semigroups in Lp spaces,, J. Differential Equations, 20 (1976),71.  doi: 10.1016/0022-0396(76)90097-8.

(with C. Travis), Partial differential equations with deviating arguments in the time variable, J. Math. Anal. Appl., 56 (1976), 397-409.doi: 10.1016/0022-247X(76)90052-4.

Linear functional differential equations with L2 initial functions,, Funkcialaj Ekvacioj., 19 (1976),65. 

(with G. Reddien), Bound, ary value problems for functional differential equations with L2 initial functions, Trans. Amer. Math. Soc., 223 (1976), 305-321.

(with C. Travis), Existence and stability for partial functional differential equations, in Dynamical Systems, Vol. 2 International Symposium, Academic Press, New York, 1976, 147-151.

Regularity of solutions to an abstract inhomogeneous linear differential equations,, Proc. Amer. Math. Soc., 62 (1977),272.  doi: 10.1090/S0002-9939-1977-0432996-3.

Exponential representation of solutions to an abstract semi-linear differential equations,, Pacific J. Math., 70 (1977),269.  doi: 10.2140/pjm.1977.70.269.

Asymptotic stability in the a-norm for an abstract nonlinear Volterra integral equation,, in Stability of Dynamical Systems, 28 (1977),207. 

Volterra integral equations and nonlinear semigroups,, Nonl. Anal. Theory Math. Appl., 1 (1977),415. 

Volterra integral equations as functional differential equations on infinite intervals,, Hiroshima Math. J., 7 (1977),61. 

(with C. Travis), Compactness, regularity, and uniform continuity properties of strongly continuous cosine families, Houston J. Math., 3 (1977), 555-567.

(with C. Travis), Existence, stability, and compactness in the a-norm for partial functional differential equations, Trans. Amer. Math. Soc., 240 (1978), 129-143.

(with C. Travis), Cosine families and abstract nonlinear second order differential equations, Acta Math., 32 (1978), 75-96.doi: 10.1007/BF01902205.

An abstract semilinear Volterra intergrodifferential equation,, Proc. Amer. Math. Soc., 69 (1978),255.  doi: 10.1090/S0002-9939-1978-0467214-4.

(with G. Reddien), Numerical approximation of nonlinear functional differential equations with L2 initial functions, SIAM J. Math Anal., 9 (1978), 1151-1171.doi: 10.1137/0509093.

(with C. Travis), An abstract second order semilinear Volterra intergrodifferential equation, SIAM J. Math. Anal., 10 (1979), 412-424.doi: 10.1137/0510038.

(with C. Travis), Perturbations of strongly continuous cosine family generators, Colloquium Mathematicum, 45 (1981), 277-285.

A bifurcation problem for a nonlinear hyperbolic partial differential equation,, SIAM J. Math. Anal., 10 (1979),922.  doi: 10.1137/0510086.

(with C. Travis), Second order differential equations in Abstract Spaces, in Proceedings of the Symposium on Nonlinear Equations in Abstract Spaces, Academic Press, New York, 1978, 331-361.

Abstract Volterra integrodifferential equations and a class of reaction-diffusion equations,, in Voleterra Equations (Proceedings of Helsinki Symposium on Integral Equations, 737 (1979),295. 

A representation formula for strongly continuous cosine families,, Aequationes Mathematicae, 21 (1980),251.  doi: 10.1007/BF02189359.

Existence and asymptotic behavior for a strongly damped nonlinear wave equation,, Can. J. Math., 32 (1980),631.  doi: 10.4153/CJM-1980-049-5.

Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces,, Proc. Royal Soc. Edinburgh, 84 (1979),19.  doi: 10.1017/S0308210500016930.

A reaction-diffusion model for a deterministic diffusive epidemic,, J. Math. Anal. Appl., 84 (1981),150.  doi: 10.1016/0022-247X(81)90156-6.

A deterministic diffusive epidemic model with an incubation period,, in Proceedings of the Functional Differential Equations and Integral Equations Conference, (1981),18. 

(with M. Badii), Nonlinear nonautonomous functional differential equations in Lp spaces, Nonlinear Anal., 5 (1981), 203-223.doi: 10.1016/0362-546X(81)90045-6.

(with M. Badii), representation of solutions of functional differential equations with time-dependent delays, Houston J. Math., 6 (1981), 544-577.

An age-dependent epidemic model with spatial diffusion,, Arch. Rat. Mech. Anal., 75 (1980),91.  doi: 10.1007/BF00284623.

A recovery-relapse epidemic model with spatial diffusion,, J. Math. Biol., 14 (1982),177.  doi: 10.1007/BF01832843.

Nonlinear semigroups and age-dependent population models,, Annali di Mathematica Pura ed Applicata, 129 (1981),43.  doi: 10.1007/BF01762135.

A genetics model with age-dependence and spatial diffusion,, in Proceedings of the Conference on Differential Equations and Applications to Ecology, (1981),29. 

Diffusive age-dependent population models and an application to genetics,, Math. Biosci., 61 (1982),1.  doi: 10.1016/0025-5564(82)90092-X.

Nonlinear age-dependent population dynamics with continuous age distributions,, in Proceedings of the Conference on Differential Equations and Applications (Schloss Retzhof, 68 (1982),274. 

Nonlinear age-dependent population dynamics in L1,, J. Integral Equations, 5 (1983),309. 

The semigroup associated with nonlinear age-dependent population dynamics,, Internat. J. Comput. Math. Appl., 9 (1983),487.  doi: 10.1016/0898-1221(83)90062-7.

(with R.Villella-Bressan), Nonautonomous functional equations and nonlinear evolution operators, Rend. Sem. Mat. Univ. Padova, 71 (1984), 177-194.

(with K. Kunisch and W. Schappacher), Nonlinear age-dependent population dynamics with random diffusion - Hyperbolic partial differential equations, II. Comput. Math. Appl., 11 (1985), 155-173.doi: 10.1016/0898-1221(85)90144-0.

A semigroup proof of the Sharpe-Lotka Theorem,, in Infinite-Dimensional Systems (Proceedings, 1076 (1984),254.  doi: 10.1007/BFb0072780.

Dynamics of populations structured by internal variables,, Mathematische Zeitschrift, 189 (1985),319.  doi: 10.1007/BF01164156.

Logistic models of structured population growth,, Internat. J. Comput. Math. Appl. I, 2A (1986),527. 

(with E. Sinestrari), Nonlinear hyperbolic systems with nonlocal boundary conditions, J. Math. Anal. Appl., 121 (1987), 449-464.doi: 10.1016/0022-247X(87)90255-1.

A model of proliferating cell populations with inherited cycle length,, J. Math. Biol., 23 (1986),269.  doi: 10.1007/BF00276962.

An operator-theoretic formulation of asynchronous exponential growth,, Trans. Amer. Math. Soc., 303 (1987),751.  doi: 10.1090/S0002-9947-1987-0902796-7.

(with A. Grabosch), Asynchronous exponential growth in transition probability models of the cell cycle, SIAM J. Math. Anal., 18 (1987), 897-907.doi: 10.1137/0518068.

Dynamics of structured populations with inherited properties,, Internat. J. Comput. Math. Appl., 13 (1987),749.  doi: 10.1016/0898-1221(87)90160-X.

(with M. Gyllenberg), Age-size structure in populations with quiescence, Math. Biosci., 86 (1987), 67-95.doi: 10.1016/0025-5564(87)90064-2.

Random transitions, size control, and inheritance in cell population dynamics,, Math. Biosci., 85 (1987),71.  doi: 10.1016/0025-5564(87)90100-3.

(with C. Chyan), A probabilistic model of proliferating cell populations with correlation of mother-daughter mitotic times, Ann. Mat. Pura. Appl., 158 (1991), 1-11.doi: 10.1007/BF01759296.

(with D. Hardin and P. Takac), A comparison of dispersal strategies for survival of spatially heterogeneous populations, SIAM J. Appl. Math., 48 (1988), 1396-1423.doi: 10.1137/0148086.

Alpha and beta curves, sister-sister and mother-daughter correlations in cell population dynamics,, Internat. J. Comput. Math. Appl., 18 (1989),973.  doi: 10.1016/0898-1221(89)90016-3.

(with D. Hardin and P Takac), Asymptotic properties of a continuous-space discrete-time populations model in a random environment, J. Math. Biol., 26 (1988), 361-374.doi: 10.1007/BF00276367.

(with D. Hardin and P. Takac), Dispersion population models discrete in time and continuous in space, J. Math. Biol., 28 (1990), 1-20.doi: 10.1007/BF00171515.

Resonance phenomena in cell population chemotherapy models,, Rocky Mountain J. Math., 20 (1990),1195.  doi: 10.1216/rmjm/1181073070.

Semigroup methods in populations dynamics: Proliferating cell populations,, in Semigroup Theory and Applications, 116 (1989),441. 

(with M. Gyllenberg), Quiescence as an explanation of Gompertzian tumor growth, Growth, Development, and Aging, 53 (1989), 25-33.

(With M. Gyllenberg), A nonlinear structured population model of tumor growth with quiescence, J. Math. Biol., 28 (1990), 671-694.doi: 10.1007/BF00160231.

(with M. Gyllenberg), Quiescence in structured population dynamics: Applications to tumor growth, in Mathematical population dynamics (Proceedings of the 2nd International Conference on Mathematical Population Dynamics, New Brunswick, NJ, 1989), Lecture Notes in Pure and Applied Mathematics Series, Marcel Dekker, New York,131 (1991), 45-62.

(with M. Gyllenberg), Asynchronous exponential growth of semigroups of nonlinear operators, J. Math. Anal. Appl., 167 (1992), 443-467.doi: 10.1016/0022-247X(92)90218-3.

A cell population model of periodic chemotherapy treatment,, in Biomedical Modeling and Simulation, (1992),83. 

Asynchronous exponential growth in differential equations with homogeneous nonlinearities,, in Differential Equations in Banach Spaces, 148 (1993),225. 

A nonlinear cell population model of periodic chemotherapy treatment,, in Recent Trends in Ordinary Differential Equations, 1 (1992),569. 

Convexity of the growth bound of C0-semigroups of operators,, in Semigroups of Linear and Nonlinear Operators and Applications, (1993),259. 

Resonances in periodic chemotherapy scheduling,, in Proceedings of the First World Congress of Nonlinear Analysts, (1996),3463. 

Growth bounds of solutions of abstract nonlinear differential equations,, Diff. Int. Eqs., 7 (1994),1145. 

(with W. E. Fitzgibbon and M. E. Parrott), Diffusion epidemic models with incubation and crisscross dynamics, Math. Biosci., 128 (1995), 131-155.doi: 10.1016/0025-5564(94)00070-G.

(with W. E. Fitzgibbon and M. E. Parrott), Diffusive epidemic models with spatial and age dependence, Discrete Contin. Dynam. Syst., 1 ( 1995), 35-58.

Periodic and chaotic behavior in structured models of cell population dynamics,, in Recent Developments in Evolution Equations, 324 (1995),40. 

(with Denise Kirschner), A model for treatment strategy in the chemotherapy of AIDS, Bull. Math. Biol., 58 (1996), 367-390.doi: 10.1016/0092-8240(95)00345-2.

(with M. Johnson), Resonances in age structured cell population models of periodic chemotherapy, Internat. J. Appl. Sci. Comp., 3 (1996), 57-67.

(with W. E. Fitzgibbon and M. E. Parrott), A diffusive epidemic model for a host-vector system, in Differential Equations and Applications to Biology and to Industry, World Scientific Press, (1996), 401-408.

(with W. Desch and W. Schappacher), Hypercyclic and chaotic semigroups of linear operators, Ergodic Theory Dynam. Syst., 17 (1997), 793-819.doi: 10.1017/S0143385797084976.

(with W. E. Fitzgibbon, M. Langlais and M. E. Parrott), A diffusive system with age dependence modeling FIV, Nonlinear Anal. Theory Meth. Appl., 25 (1995), 975-989.doi: 10.1016/0362-546X(95)00092-A.

(with 0. Arino and M. Kimmel), Mathematical modelling of the loss of telomere sequences, J. Theoret. Biol., 177 (1995), 45-57.doi: 10.1006/jtbi.1995.0223.

(with J. Dyson and R. Villella-Bressan), A singular transport equation modelling a proliferating maturity structured cell population, Canadian Appl. Math. Quart., 4 (1996), 65-95.

(with 0. Arino and E. Sanch.ez), Polynomial growth of telomere loss in a heterogenous cell population, Dynam. Contin. Discrete Impulsive Syst., 3 (1997), 263-282.

(with W. E. Fitzgibbon and M. E. Parrott), A diffusive age-structured SEIRS epidemic model, Meth. Appl. Anal., 3 (1996), 358-369.

(with W. E. Fitzgibbon, J. Morgan and M. E. Parrott), Drug resistance in diffusive epidemic population models, in Advances in Mathematical Population Dynamics - Molecules, Cells and Man, Series in Mathematical Biology and Medicine, World Scientific Press, 6 (1998), 613-628.

(with J. Dyson and R. Villella-Bressan), Hypercyclicity of a transport equation with delays, Nonlinear Anal. Theory Meth. Appl., 29 (1997), 1343-1351.doi: 10.1016/S0362-546X(96)00192-7.

(with Denise Kirschner), Understanding drug resistance for monotherapy treatment of HIV infection, Bull. Math. Biol., 59 (1997), 763-785.doi: 10.1016/S0092-8240(97)00038-4.

(with Denise Kirschner), A mathematical model of combined drug therapy of HIV infection, J. Theoret. Med., 1 (1997), 25-34.doi: 10.1080/10273669708833004.

(with W. E. Fitzgibbon, J. Morgan and M. E. Parrott), An age dependent regularization of Martin's problem, in Reaction Diffusion Systems, Lecture Notes in Pure and Applied Mathematics Series, Marcel Dekker, Inc., 194 (1998), 131-139.

(with Denise Kirschner), Qualitative differences in HIV chemotherapy between resistance and remission outcomes, Emerg. Infect. Dis., 3 (1997), 273-283.

(with 0. Arino and E. Sanchez), Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence, J. Math. Anal. Appl., 215 (1997), 499-513.doi: 10.1006/jmaa.1997.5654.

(with Denise Kirschner), \doititle{Immunotherapy of HIV infection}, J. Biol. Systems, 6 (1998), 71-83.doi: 10.1142/S0218339098000091.

(with J. Dyson and R. Villella-Bressan), An age and maturity structured model of cell population dynamics, in Mathematical Models in Medical and Health Science (Proceedings of the Conference on Mathematical Models in Medical and Health Sciences), Vanderbilt University Press, (1999), 99-116.

(with Li Zhou, Yiping Fu, Mengxing He and Kaitai Song), Solutions of a class of first order partial differential equations with delay, in Proceedings of the Conference on Nonlinear Partial Differential Equations and Applications (Chongquing University, P.R. China, May 26-31, 1997), World Scientific Press, Singapore, (1998), 251-255.

(with Miles Cloyd and Denise Kirschner), A model of HIV- I disease progression based on virus-induced lymph node homing and homing-induced apoptosis of CD4+ lymphocytes, J. AIDS, 24 (2000), 352-362.

(with J. Dyson and R. Villella-Bressan), A Nonlinear age and maturity structured model of population dynamics. I. Basic Theory, J. Math. Anal. Appl., 242 (2000), 93-104.doi: 10.1006/jmaa.1999.6656.

(with J. Dyson and R. Villella-Bressan), A Nonlinear age and maturity structured model of population dynamics. II. Chaos, J. Math. Anal. Appl., 242 (2000), 255-270.doi: 10.1006/jmaa.1999.6657.

(with P. Magat), Mutation, selection, and recombination in a model of phenotype evolution, Discrete Contin. Dynam. Syst., 6 (2000), 221-236.

(with J. Dyson and R. Villella-Bressan), A maturity structured model of a population of proliferating and quiescent cells, Archives of Control Sciences, 9 (1999), 201-225.

(with M. Blaser), Dynamics of bacterial phenotype selection in a colonized host, Proc. Natl. Acad. Sci., 99 (2002), 3135-3140.doi: 10.1073/pnas.042685799.

(with J. Dyson and R. Villella-Bressan), Asynchronous exponential growth in an age structured population of proliferating and quiescent cells, Math. Biosci., 177-178 (2002), 73-83.doi: 10.1016/S0025-5564(01)00097-9.

The prime number periodical cicada problem,, Discrete Contin. Dynam. Syst. Ser. B, 1 (2001),387.  doi: 10.3934/dcdsb.2001.1.387.

(with Seema Bajaria, Miles Cloyd and Denise Kirschner), Dynamics of nave and memory CD4+ T lymphocytes in HIV-I disease progression, J. AIDS, 30 (2002), 41-58.

(with E. D'Agata and M. A. Horn), The impact of persistent gastrointestinal colonization on the transmission dynamics of vancomycin-resistant enterococci, J. Infect. Dis., 185 (2002), 766-773.

The steady state of a tumor cord cell population,, J. Evol. Eqs., 2 (2002),425.  doi: 10.1007/PL00012598.

(with M. Blaser), Mailborne transmission of anthrax: Modeling and implications, Proc. Natl. Acad. Sci., 99 (2002), 7027-7032

(with R. Cutshaw and S.Ruan), A mathematical model of cell-to-cell spread of HIV that includes a time delay, J. Math. Biol., 46 (2003), 425-444.doi: 10.1007/s00285-002-0191-5.

The silent bomb: The risk of anthrax as a weapon of mass destruction,, Proc. Nat. Acad. Sci., 100 (2003),4355. 

(with J. Dyson and R. Villella-Bressan), A semilinear transport equation with delays, Int. J. Math. Math. Sci., 2003 (2003), 2011-2026.doi: 10.1155/S0161171203211431.

(with J. Dyson and R. Villella-Bressan), The steady state of a maturity structured tumor cord cell population, Discrete Contin. Dynam. Syst. Ser. B, 4 (2004), 115-134.

Structured population dynamics,, Banach Center Publications, 63 (2004),123. 

(with Seema Bajaria and Denise Kirschner), Predicting differential responses to structured treatment interruptions during HAART, Bull. Math. Biol., 66 (2004), 1093-1118.doi: 10.1016/j.bulm.2003.11.003.

(with M. Blaser, H. Zhu, S. Ardal and J. Wu), Critical role of nosocomial transmission in the Toronto SARS, outbreak, Math. Biosci. Eng., 1 (2004), 1-13.doi: 10.3934/mbe.2004.1.1.

(with J. Dyson and R. Villella-Bressan), The evolution of a tumor cord cell population, Comm. Pure Appl. Anal., 3 (2004), 331-352.doi: 10.3934/cpaa.2004.3.331.

(with E. D'Agata and M. A. Horn), A mathematical model quantifying the impact of antibiotic exposure, surveillance cultures and other interventions on the prevalence of vancomycin-resistant enterococci, J. Infect. Dis., 192 (2005), 2004-2011.

(with M. Greer and L. Pujo-Menjouet), A mathematical analysis of the dynamics of prion proliferation, J. Theoret. Biol., 242 (2006), 598-606.doi: 10.1016/j.jtbi.2006.04.010.

Being prepared: Modeling the response to an anthrax attack,, Ann. Int. Med., 142 (2005),667. 

(with E.M.C. D'Agata, P. Magal, and S. Ruan), A model of antibiotic resistant bacterial epidemics in hospitals, Proc. Nat. Acad. Sci., 102 (2005), 13343-13348.

(with E. M. C., D'Agata, P. Magal and S. Ruan), Asymptotic behavior in nonsocomial epidemic models with antibiotic resistance, Diff. Int. Eqs., 19 (2006), 573-600.

(with B. Ayati and A. R. A. Anderson), Computational methods and results for structured multiscale models of tumor invasion, SIAM Multiscale Modeling and Simulation, 5 (2006), 1-20.doi: 10.1137/050629215.

(with J. Pruss, L. Pujo-Menjouet and R. Zacher), Analysis of a model for the dynamics of prions, Discrete Contin. Dynam. Syst. Ser. B, 6 (2006), 215-225.

(with H. Engler and J. Pruss), Analysis of a model for the dynamics of prions II, J. Math. Anal. Appl., 324 (2006), 98-117.doi: 10.1016/j.jmaa.2005.11.021.

(with C. Walker), Global existence of classical solutions for a haptotaxis model, SIAM J. Math. Anal., 38 (2007), 1694-1713.doi: 10.1137/060655122.

(with J. Dyson and R. Villella-Bressan), Asymptotic behavior of solutions to abstract logistic equations, Math. Biosci., 206 (2007), 216-232.doi: 10.1016/j.mbs.2005.08.005.

(with J. Dyson, R. Villella-Bressan and E. Sanchez), Stabilization of telomeres in nonlinear models of proliferating cell lines, J. Theoret. Biol., 244 (2007), 400-408.doi: 10.1016/j.jtbi.2006.08.023.

Population models structured by age, size and spatial position,, in Structured Population Models in Biology and Epidemiology, 1936 (2008),1.  doi: 10.1007/978-3-540-78273-5_1.

(with E. D'Agata and M. A. Horn), Quantifying the impact of bacterial fitness and repeated antimicrobial exposure on the emergence of multidrug-resistant gram-negative bacilli, Math. Mod. Nat. Phenom., 2 (2007), 129-142.doi: 10.1051/mmnp:2008014.

(with M. Greer, P. van den Driessche and L. Wang), Effects of general incidence and polymer joining on nucleated polymerization in a prion disease model, SIAM J. Appl. Math., 68 (2007), 154-170.doi: 10.1137/06066076X.

(with E. D'Agata, P. Magal, D. Olivier and S. Ruan), Modeling antibiotic resistance in hospitals: The impact of minimizing treatment duration, J. Theoret. Biol., 249 (2007), 487-499.doi: 10.1016/j.jtbi.2007.08.011.

(with P. Hinow, S. E. Wang, and C. L. Arteaga), Mathematical model separates quantitatively the cytostatic and cytotoxic effects of a HER2 tyrosine kinase inhibitor, Theoret. Biol. Med. Mod., 4 (2007), p14.doi: 10.1186/1742-4682-4-14.

(with J. Dyson, R. Villella-Bressan and E. Sanchez), An age and spatially structured model of tumor invasion with haptotaxis, Discrete Contin. Dynam. Syst. Ser. B, 8 (2007), 45-60.doi: 10.3934/dcdsb.2007.8.45.

(with J. Dyson and R. Villella-Bressan), An age and spatially structured model of tumor invasion with haptotaxis II, Math. Pop. Studies, 15 (2008), 73-95.doi: 10.1080/08898480802010159.

(with J. Dyson and R. Villella-Bressan), A spatial model of tumor growth with cell age, cell size, and mutation of cell phenotypes, Math. Mod Nat. Phenom., 2 (2007), 69-100.doi: 10.1051/mmnp:2007004.

(with W-Y. Tan and W. Ke), A state space model for tumor growth and applications, Comp. Math. Meth. Med., 10 (2009), 117-138.

(with J. Dyson and R. Villella-Bressan), Global existence and boundedness of solutions to a model of chemotaxis, Math. Mod. Nat. Phen., 3 (2008), 17-35.doi: 10.1051/mmnp:2008039.

(S. E. Wang, P. Hinow, N. Bryce, A. M. Weaver, L. Estrada and C. L. Arteaga), A mathematical model quantifies proliferation and motility effects of TGF-$\beta$ on cancer cells, Comp. Math. Meth. Med., 10 (2009), 71-83.doi: 10.1080/17486700802171993.

(with P. Gomez-Mourelo, E. Sanchez and L. Casasus), A fully continuous individual-based model of tumor cell evolution, Comptes Rendus Biologies, 31 (2008), 823-836.

(with E. D'Agata, M. A. Horn, R. Moellering and S. Ruan), Modeling the invasion of community-acquired methicillin-resistant Staphylococcus aureus into the hospital setting, Clin. Infect. Dis., 48 (2009), 274-284.

(with P. Hinow, F. LeFoll and P. Magal), Analysis of a model for transfer phenomena in biological populations, SIAM J. Appl. Math., 70 (2009), 40-62.doi: 10.1137/080732420.

(with E. D'Agata, M. A. Horn, R. Moellering and S. Ruan), Competition of Hospital-Acquired and Community-Acquired Methicillin-Resistant Staphylococcus aureus Strains in Hospitals, J. Biol. Dyn., 4 (2010), 115-129.doi: 10.1080/17513750903026411.

(with C. McCluskey and P. Magal), Liapunov functional and global asymptotic stability for an infection-age model, Appl. Anal., 89 (2010), 1109-1140.doi: 10.1080/00036810903208122.

(with B. Ayati, C. Edwards and J. Wikswo), A mathematical model of bone remodeling dynamics for normal and tumor bone cell populations, published online, Biology Direct, 5 (2010): 28.

(with M. Blaser, Y-H. Hsieh and J. Wu), Pre-symptomatic influenza transmission, surveillance, and school closings, Math. Mod. Nat. Phenom., 5 (2010), 191-205.doi: 10.1051/mmnp/20105312.

(with E. M. C. D'Agata and J. Pressley), Rapid emergence of co-colonization with community-acquired and hospital-acquired methicillin-resistant Staphylococcus aureus strains in the hospital setting, Math. Mod. Nat. Phenom., 5 (2010), 76-93.doi: 10.1051/mmnp/20105306.

(with J. Dyson, S. A. Gourley and R. Villella-Bressan), Existence and asymptotic properties of solutions of a nonlocal evolution equation modelling cell-cell adhesion, SIAM J. Math. Anal., 42 (2010), 1784-1804.doi: 10.1137/090765663.

(with E. M. C. D'Agata and J. Pressley), The effect of co-colonization with community-acquired and hospital-acquired methicillin-resistant Staphylococcus aureus strains on competitive exclusion, J. Theoret. Biol., 264 (2010), 645-656.

(with J. Pasquier, P. Magal, C. Boulang-Lecomte and F. Le Foll), Consequences of cell-to-cell P-glycoprotein transfer on acquired multidrug resistance in breast cancer: A cell population dynamics model, Biology Direct, 6 (2011), p5.doi: 10.1186/1745-6150-6-5.

(with A. Ducrot, F. LeFoll, P. Magal, H. Murakawa and J. Pasquier), An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition, Math. Mod. Meth. Appl. Sci., 21 (2011), 871-892.doi: 10.1142/S0218202511005404.

Event based interpretation of Schrodinger's equation for the two-slit experiment,, Int. J. Theor. Phys., 50 (2011),3571.  doi: 10.1007/s10773-011-0866-z.

(with D. T. Grima and E. M. C D'Agata), Mathematical model of the impact of a non-antibiotic treatment for Clostridium difficile on the endemic prevalence of vancomycin-resistant enterococci in a hospital setting, Comp. Math. Meth. Med., 2012 (2012), Article ID 605861, 8pp.doi: 10.1155/2012/605861.

(with J. Pasquier, L. Galas, C. Boulang-Lecomte, D. Rioult, F. Bultelle, P. Magal and F. Le Foll), Tunneling nanotubes and released microparticles both contribute to extragenetic cell-to-cell p-glycoprotein transfers in mcf-7 breast cancer cells, J. Biol. Chem., 287 (2012), 7373-7387.

(with P. Gabriel, S. Garbett, D. Tyson and V. Quaranta), The contribution of age structure to cell population responsesto targeted therapeutics, J. Theoret. Biol., 311 (2012), 19-27.doi: 10.1016/j.jtbi.2012.07.001.

R0,, Hektoen International Journal, 3 (2011). 

(with E. M. C. D'Agata, M. A. Horn, S. Ruan and J. R. Wares), Efficacy of infection control interventions in reducing the spread of multidrug-resistant organisms in the hospital setting, PLoS ONE, 7 (2012), e30170.doi: 10.1371/journal.pone.0030170.

(with J. Dyson and S.A. Gourley), A nonlocal evolution equation model of cell-cell adhesion in higher dimensional space, J. Biol. Dyn., 7 (2013), 68-87.doi: 10.1080/17513758.2012.755572.

(with M. Helal, E. Hingant, L. Pujo-Menjouet), Alzheimer's disease: Analysis of a mathematical model incorporating the role of prions, J. Math. Biol., 69 (2014), 1207-1235.doi: 10.1007/s00285-013-0732-0.

(with J. Dyson), A cell population model structured by cell age incorporating cell-cell adhesion, in Mathematical Oncology 2013 (Eds. A. d'Onofrio and A. Gandolfi), Modeling and Simulation in Science, Engineering and Technology, Springer-Verlag, New York, (2014), 109-149.doi: 10.1007/978-1-4939-0458-7_4.

(with M. J. Blaser), Host demise as a beneficial function of indigenous microbiota in human hosts, mBio, 5 (2014), e02262-14.doi: 10.1128/mBio.02262-14.