Frank Ball

Contact

• workRoom C08 The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514969
• fax0115 9514951
• frank.ball@nottingham.ac.uk

Research Summary

Modelling and statistical inference for epidemics. Modelling and statistical inference for ion channels

Recent Publications

• FRANK BALL and DAVID SIRL, 2018. Evaluation of vaccination strategies for SIR epidemics on random networks incorporating household structure Journal of Mathematical Biology. 76(1-2), 483–530
• BALL, FRANK, BRITTON, TOM and TRAPMAN, PIETER, 2017. An epidemic in a dynamic population with importation of infectives Annals of Applied Probability. 27(1), 242-274
• BALL, FRANK and NEAL, PETER, 2017. The asymptotic variance of the giant component of configuration model random graphs Annals of Applied Probability. 27(2), 1057-1092
• BALL F and HOUSE T, 2017. Heterogeneous network epidemics: real-time growth, variance and extinction of infection. Journal of mathematical biology. 75(3), 577-619

• View all publications

• FRANK BALL and DAVID SIRL, 2018. Evaluation of vaccination strategies for SIR epidemics on random networks incorporating household structure Journal of Mathematical Biology. 76(1-2), 483–530
• BALL, FRANK, BRITTON, TOM and TRAPMAN, PIETER, 2017. An epidemic in a dynamic population with importation of infectives Annals of Applied Probability. 27(1), 242-274
• BALL, FRANK and NEAL, PETER, 2017. The asymptotic variance of the giant component of configuration model random graphs Annals of Applied Probability. 27(2), 1057-1092
• BALL F and HOUSE T, 2017. Heterogeneous network epidemics: real-time growth, variance and extinction of infection. Journal of mathematical biology. 75(3), 577-619
• BALL, FRANK, PELLIS, LORENZO and TRAPMAN, PIETER, 2016. Reproduction numbers for epidemic models with households and other social structures II: Comparisons and implications for vaccination MATHEMATICAL BIOSCIENCES. 274, 108-139
• BALL, FRANK, BRITTON, TOM and NEAL, PETER, 2016. ON EXPECTED DURATIONS OF BIRTH-DEATH PROCESSES, WITH APPLICATIONS TO BRANCHING PROCESSES AND SIS EPIDEMICS JOURNAL OF APPLIED PROBABILITY. 53(1), 203-215
• WILKINSON, ROBERT R., BALL, FRANK G. and SHARKEY, KIERAN J., 2016. THE DETERMINISTIC KERMACK-MCKENDRICK MODEL BOUNDS THE GENERAL STOCHASTIC EPIDEMIC JOURNAL OF APPLIED PROBABILITY. 53(4), 1031-1040
• TRAPMAN, PIETER, BALL, FRANK, DHERSIN, JEAN-STEPHANE, VIET CHI TRAN, WALLINGA, JACCO and BRITTON, TOM, 2016. Inferring R-0 in emerging epidemics-the effect of common population structure is small JOURNAL OF THE ROYAL SOCIETY INTERFACE. 13(121),
• BALL, FRANK G., KNOCK, EDWARD S. and O'NEILL, PHILIP D., 2015. Stochastic epidemic models featuring contact tracing with delays MATHEMATICAL BIOSCIENCES. 266, 23-35
• BALL, FRANK, BRITTON, TOM, HOUSE, THOMAS, ISHAM, VALERIE, MOLLISON, DENIS, PELLIS, LORENZO and TOMBA, GIANPAOLO SCALIA, 2015. Seven challenges for metapopulation models of epidemics, including households models EPIDEMICS. 10, 63-67
• PELLIS, LORENZO, BALL, FRANK, BANSAL, SHWETA, EAMES, KEN, HOUSE, THOMAS, ISHAM, VALERIE and TRAPMAN, PIETER, 2015. Eight challenges for network epidemic models EPIDEMICS. 10, 58-62
• BALL, FRANK and SHAW, LAURENCE, 2015. Estimating the within-household infection rate in emerging SIR epidemics among a community of households JOURNAL OF MATHEMATICAL BIOLOGY. 71(6-7), 1705-1735
• BALL, F.G., SIRL, D.J. and TRAPMAN, J.P., 2014. Epidemics on random intersection graphs Annals of Applied Probability. 24(3), 1081-1128
• BALL, FRANK, GONZALEZ, MIGUEL, MARTINEZ, RODRIGO and SLAVTCHOVA-BOJKOVA, MAROUSSIA, 2014. Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling BERNOULLI. 20(4), 2076-2101
• BALL, F., BRITTON, T. and SIRL, D., 2013. A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon Journal of Mathematical Biology. 66(4-5), 979-1019
• BALL, FRANK and SIRL, DAVID, 2013. Acquaintance vaccination in an epidemic on a random graph with specified degree distribution Journal of Applied Probability. 50(4), 1147-1168
• PELLIS, L, BALL, F and TRAPMAN, P, 2012. Reproduction Numbers For Epidemic Models With Households And Other Social Structures. I. Definition And Calculation Of R-0 Mathematical Biosciences. 235(1), 85-97
• BALL, F. and SIRL, D., 2012. An SIR epidemic model on a population with random network and household structure, and several types of individuals Advances in Applied Probability. 44(1), 63-86
• BALL, F., BRITTON, T. and SIRL, D., 2011. Household epidemic models with varying infection response Journal of Mathematical Biology. 63(2), 309-337
• BALL, F.G., KNOCK, E.S. and O'NEILL, P.D., 2011. Threshold behaviour of emerging epidemics featuring contact tracing Advances in Applied Probability. 43(4), 1048-1065
• BALL, F. and NEAL, P., 2010. Applications of branching processes to the final size of SIR epidemics LECTURE NOTES IN STATISTICS -NEW YORK- SPRINGER VERLAG-. VOL 197, 207-224
• BALL, FRANK, SIRL, DAVID and TRAPMAN, PIETER, 2010. Analysis of a stochastic SIR epidemic on a random network incorporating household structure. Mathematical Biosciences. 224(2), 53-73
• BALL, F.G. and BRITTON,T., 2009. An epidemic model with infector and exposure dependent severity Mathematical Biosciences. 218(2), 105-120
• BALL, F., SIRL, D. and TRAPMAN, P., 2009. Threshold behaviour and final outcome of an epidemic on a random network with household structure Advances in Applied Probability. 41(3), 765-796
• STEFANOV, V.T. and BALL, F., 2009. Reward distributions associated with some block tridiagonal transition matrices with applications to identity by descent ADVANCES IN APPLIED PROBABILITY. VOL 41(NUMB 2), 523-545
• BALL, F.G, KNOCK, E.S. and O'NEILL, P.D., 2008. Control of emerging infectious diseases using responsive imperfect vaccination and isolation. Mathematical Biosciences. 216(1), 100-113
• BALL, F.G., DRYDEN, I.L. and GOLALIZADEH, M., 2008. Brownian motion and Ornstein-Uhlenbeck processes in planar shape space Methodology and Computing in Applied Probability. 10, 1-22
• BALL, F. and NEAL, P., 2008. Network epidemic models with two levels of mixing Mathematical Biosciences. 212(1), 69-87
• BALL, F., O'NEILL, P.D. and PIKE, J., 2007. Stochastic epidemic models in structured populations featuring dynamic vaccination and isolation Journal of Applied Probability. 44(3), 571-585
• BALL, F. and BRITTON, T., 2005. An epidemic model with exposure-dependent severities Journal of Applied Probability. VOL 42(NUMB 4), 932-949
• BALL, F. and MILNE, R.K., 2005. Simple derivations of properties of counting processes associated with Markov renewal processes Journal of Applied Probability. VOL 42(NUMB 4), 1031-1043
• BALL, F. and NEAL, P., 2004. Poisson approximations for epidemics with two levels of mixing The Annals of Probability. 32(1B), 1168-1200
• BALL, F.G., BRITTON, T. and LYNE, O.D., 2004. Stochastic multitype epidemics in a community of households: Estimation of threshold parameter R_* and secure vaccination coverage Biometrika. 91(2), 345-362
• BALL, F.G., MILNE, R.K. and YEO, G.F., 2004. A unified approach to burst properties of multiconductance single ion channels Mathematical Medicine and Biology. VOL 21(NUMBER 3), 205-245
• BALL, F. and NEAL, P., 2003. The great circle epidemic model Stochastic Processes and their Applications. 107(2), 233-268
• BALL, F. and NEAL, P., 2002. A general model for stochastic SIR epidemics with two levels of mixing Mathematical Biosciences. VOL 180(NUMBER 1-2), 73-102
• BALL, F., MILNE, R.K. and YEO, G.F., 2002. Multivariate semi-Markov analysis of burst properties of multiconductance single ion channels Journal of Applied Probability. VOL 39(PART 1), 179-196
• BALL, F.G., BRITTON, T. and O'NEILL, P.D., 2002. Empty confidence sets for epidemics, branching processes and Brownian motion Biometrika. VOL 89(PART 1), 211-224
• BALL, F. and LYNE, O.D., 2001. Stochastic multitype SIR epidemics among a population partitioned into households Advances in Applied Probability. 33(1), 99-123
• R R WILKINSON, F G BALL and K J SHARKEY, The relationships between message passing, pairwise, Kermack-McKendrick and stochastic SIR epidemic models Journal of Mathematical Biology. (In Press.)