Pilyugin, Sergei S.

35 papers

3741087
Khonthapagdee, Subhorn; Pilyugin, Sergei S.(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ;
Crowding and light limitation affect phytoplankton competition for nitrogen. (English summary)
J. Biol. Systems 25 (2017), no. 4, 743-765.
92D40

3593426
Browne, Cameron J.(1-LA)

Department of Mathematics, University of Louisiana--Lafayette
Lafayette, Louisiana, 70504 ; Pilyugin, Sergei S.(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Minimizing $\Cal{R}_0$ $\Cal{R}_0$ for in-host virus model with periodic combination antiviral therapy. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 10, 3315-3330.
92C60 (34C60)

3593426
Browne, Cameron J.(1-LA)

Department of Mathematics, University of Louisiana--Lafayette
Lafayette, Louisiana, 70504 ; Pilyugin, Sergei S.(1-FL)

3543613
Milliken, Evan(1-FL); Pilyugin, Sergei S.(1-FL)
A model of infectious salmon anemia virus with viral diffusion between wild and farmed patches. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 6, 1869-1893.
92D30 (34C23 34C60 37N25 92D40)

3430071
Jacobsen, Karly(1-FL); Pilyugin, Sergei S.(1-FL)
Analysis of a mathematical model for tumor therapy with a fusogenic oncolytic virus. (English summary)
Math. Biosci. 270 (2015), part B, 169-182.
92C50

3327906
Pourbashash, Hossein(1-FL); Pilyugin, Sergei S.(1-FL); De Leenheer, Patrick(1-FL); McCluskey, Connell(3-WLR)
Global analysis of within host virus models with cell-to-cell viral transmission. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 19 (2014), no. 10, 3341-3357.
92C60 (34C60 34D20 37N25)

3082307
Browne, Cameron J.(1-FL); Pilyugin, Sergei S.(1-FL)
Global analysis of age-structured within-host virus model. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 8, 1999–2017.
37N25 (37B25 92D25)

3046260
Jacobsen, Karly(1-FL); Stupiansky, Jillian(1-FL); Pilyugin, Sergei S.(1-FL)
Mathematical modeling of citrus groves infected by huanglongbing. (English summary)
Math. Biosci. Eng. 10 (2013), no. 3, 705–728.
92D25 (92D30)

2897870
Ellermeyer, S. F.; Pilyugin, S. S.(1-FL)
A size-structured model of bacterial growth and reproduction. (English summary)
J. Biol. Dyn. 6 (2012), no. 2, 131–147.
92D25 (35F15 46N60)

2889666
Browne, Cameron J.(1-FL); Pilyugin, Sergei S.(1-FL)
Periodic multidrug therapy in a within-host virus model. (English summary)
Bull. Math. Biol. 74 (2012), no. 3, 562–589.
92C60 (34D15 34D20)

2787180
De Leenheer, Patrick(1-FL); Dockery, Jack(1-MTS); Gedeon, Tomas(1-MTS); Pilyugin, Sergei S.(1-FL)
The chemostat with lateral gene transfer. (English summary)
J. Biol. Dyn. 4 (2010), no. 6, 607–620.
92D25 (92D30)

2672532
De Leenheer, Patrick(1-FL); Dockery, Jack(1-MTS); Gedeon, Tomáš(1-MTS); Pilyugin, Sergei S.(1-FL)
Senescence and antibiotic resistance in an age-structured population model. (English summary)
J. Math. Biol. 61 (2010), no. 4, 475–499.
92D25 (34A33 34D05 92D15 93D05)

2973420
Noel, Jason T.(1-FL-KE); Pilyugin, Sergei S.(1-FL); Narang, Atul(1-FL-CAM)
The diffusive influx and carrier efflux have a strong effect on the bistability of the lac operon in Escherichia coli. (English summary)
J. Theoret. Biol. 256 (2009), no. 1, 14–28.
92C45

2427521
De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
Immune response to a malaria infection: properties of a mathematical model. (English summary)
J. Biol. Dyn. 2 (2008), no. 2, 102--120.
92D30 (34C60 34D23)

2391178
Narang, Atul(1-FL-KE); Pilyugin, Sergei S.(1-FL)
Bistability of the lac operon during growth of Escherichia coli on lactose and lactose + glucose. (English summary)
Bull. Math. Biol. 70 (2008), no. 4, 1032--1064.
92C40

2373385
Keeran, Willard S.(1-FL); De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
Feedback-mediated coexistence and oscillations in the chemostat. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 9 (2008), no. 2, 321--351.
92D25 (37N25)

2322005
Martcheva, Maia(1-FL); Pilyugin, Sergei S.(1-FL); Holt, Robert D.(1-FL-Z)
Subthreshold and superthreshold coexistence of pathogen variants: the impact of host age-structure. (English summary)
Math. Biosci. 207 (2007), no. 1, 58--77.
92D30 (34C11)

2291872
Keeran, Willard S.(1-FL); De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
Circular and elliptic orbits in a feedback-mediated chemostat. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 7 (2007), no. 4, 779--792 (electronic).
92D25 (34C25 92C37)

2281029
Narang, Atul(1-FL-KE); Pilyugin, Sergei S.(1-FL)
Bacterial gene regulation in diauxic and non-diauxic growth. (English summary)
J. Theoret. Biol. 244 (2007), no. 2, 326--348.
92D10 (92C15 92C40)

2250245
De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
Feedback-mediated oscillatory coexistence in the chemostat. (English summary) Positive systems, 97--104,
Lecture Notes in Control and Inform. Sci., 341, Springer, Berlin, 2006.
92D25 (93B52)

2216723
Martcheva, Maia(1-FL); Pilyugin, Sergei S.(1-FL)
The role of coinfection in multidisease dynamics. (English. English summary)
SIAM J. Appl. Math. 66 (2006), no. 3, 843--872 (electronic).
35F25 (35B32 35B35 37N25 92D30)

2130757
Narang, Atul(1-FL-KE); Pilyugin, Sergei S.(1-FL)
Toward an integrated physiological theory of microbial growth: from subcellular variables to population dynamics. (English. English summary)
Math. Biosci. Eng. 2 (2005), no. 1, 169--206.
92D25 (34C60 37N25)

2125827
Gupta, Shakti(1-FL-KE); Pilyugin, S. S.(1-FL); Narang, Atul(1-FL-KE)
The dynamics of single-substrate continuous cultures: the role of ribosomes. (English. English summary)
J. Theoret. Biol. 232 (2005), no. 4, 467--490.
92D25 (92D40)

2120643
Pilyugin, Sergei S.(1-FL); Reeves, Gregory T.(1-PRIN-KE); Narang, Atul(1-FL-KE)
Predicting stability of mixed microbial cultures from single species experiments. II. Physiological model. (English. English summary)
Math. Biosci. 192 (2004), no. 2, 111--136.
92D25 (34D20 35Q80 37N25 92C30 92C37 92C40 92D40)

2120642
Pilyugin, Sergei S.(1-FL); Reeves, Gregory T.(1-PRIN-KE); Narang, Atul(1-FL-KE)
Predicting stability of mixed microbial cultures from single species experiments. I. Phenomenological model. (English. English summary)
Math. Biosci. 192 (2004), no. 2, 85--109.
92D25 (34D20 35Q80 37N25 92C37 92C40 92D40 93C30)

2069298
Reeves, Gregory T.(1-PRIN-KE); Narang, Atul(1-FL-KEE); Pilyugin, Sergei S.(1-FL)
Growth of mixed cultures on mixtures of substitutable substrates: the operating diagram for a structured model. (English. English summary)
J. Theoret. Biol. 226 (2004), no. 2, 143--157.
92D25

2132250
Arino, Julien(3-MMAS); Pilyugin, Sergei S.(1-FL); Wolkowicz, Gail S. K.(3-MMAS)
Considerations on yield, nutrient uptake, cellular growth, and competition in chemostat models. (English. English summary)
Can. Appl. Math. Q. 11 (2003), no. 2, 107--142.
92D25

2077393
Pilyugin, Sergei S.(1-FL); Ganusov, Vitaly V.(1-EMRY-B); Murali-Krishna, Kaja(1-EMRY-VR); Ahmed, Rafi(1-EMRY-VR); Antia, Rustom(1-EMRY-B)
The rescaling method for quantifying the turnover of cell populations. (English. English summary)
J. Theoret. Biol. 225 (2003), no. 2, 275--283.
92D25 (92C37)

2067535
Shoemaker, Jason(1-FL-KE); Reeves, Gregory T.(1-PRIN-KE); Gupta, Shakti(1-FL-KE); Pilyugin, Sergei S.(1-FL); Egli, Thomas; Narang, Atul(1-FL-KE)
The dynamics of single-substrate continuous cultures: the role of transport enzymes. (English. English summary)
J. Theoret. Biol. 222 (2003), no. 3, 307--322.
92D25

2043099
Antia, Rustom(1-EMRY-B); Bergstrom, Carl T.(1-WA-Z); Pilyugin, Sergei S.(1-FL); Kaech, Susan M.(1-EMRY-VR); Ahmed, Rafi(1-EMRY-VR)
Models of CD8+ responses. I. What is the antigen-independent proliferation program. (English. English summary)
J. Theoret. Biol. 221 (2003), no. 4, 585--598.
92D10

2029125
Pilyugin, Sergei S.(1-FL); Waltman, Paul(1-EMRY-CS)
Divergence criterion for generic planar systems. (English. English summary)
SIAM J. Appl. Math. 64 (2003), no. 1, 81--93 (electronic).
34C23 (37G10 37N25 92D25)

1965353
Pilyugin, Sergei S.(1-FL); Waltman, Paul(1-EMRY-CS)
Multiple limit cycles in the chemostat with variable yield. (English. English summary)
Math. Biosci. 182 (2003), no. 2, 151--166.
34C60 (34C05 34C25 92D25)

1816797
Ellermeyer, S. F.; Pilyugin, S. S.(1-FL); Redheffer, Ray(1-UCLA)
Persistence criteria for a chemostat with variable nutrient input. (English. English summary)
J. Differential Equations 171 (2001), no. 1, 132--147.
92D40 (34C60)

1699028
Pilyugin, Sergei S.(1-GAIT-NL); Waltman, Paul(1-EMRY-CS)
The simple chemostat with wall growth. (English. English summary)
SIAM J. Appl. Math. 59 (1999), no. 5, 1552--1572 (electronic).
92D25 (34C60 34D45 80A32)

1686709
Pilyugin, Sergei S.(1-EMRY-CS); Waltman, Paul(1-EMRY-CS)
Competition in the unstirred chemostat with periodic input and washout. (English. English summary)
SIAM J. Appl. Math. 59 (1999), no. 4, 1157--1177 (electronic).
92D25 (34C60 35Q80)