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Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
 

Volume 4,Number 6,     December 2011

Issue on biomathematics: Newly developed applied mathematics
and new mathematics arising from biosciences

1

Preface   Pages : i - ii

Jianjun Paul Tian,  Murray R. Bremner,  Reinhard Laubenbacher and Banghe Li

 Abstract       Full Text      Related Articles

2

Derivations in power-associative algebras   Pages : 1359 - 1370

Joseph Bayara,  AndrĂ© Conseibo,  Artibano Micali and Moussa Ouattara

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3

Train algebras of degree 2 and exponent 3   Pages : 1371 - 1386

Joseph Bayara,  AndrĂ© Conseibo,  Moussa Ouattara and Artibano Micali

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4

Polynomial identities for ternary intermolecular recombination   Pages : 1387 - 1399

Murray R. Bremner

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5

Topological symmetry groups of $K_{4r+3}$   Pages : 1401 - 1411

Dwayne Chambers,  Erica Flapan and John D. O'Brien

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6

Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning   Pages : 1413 - 1428

Wenrui Hao,  Jonathan D. Hauenstein,  Bei Hu,  Yuan Liu,  Andrew J. Sommese and Yong-Tao Zhang

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7

Equilibrium submanifold for a biological system   Pages : 1429 - 1441

Hongyu He and Naohiro Kato

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8

Boolean models of bistable biological systems   Pages : 1443 - 1456

Franziska Hinkelmann and Reinhard Laubenbacher

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9

The dynamics of zeroth-order ultrasensitivity: A critical phenomenon in cell biology   Pages : 1457 - 1464

Qingdao Huang and Hong Qian

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10

An enzyme kinetics model of tumor dormancy, regulation of secondary metastases   Pages : 1465 - 1498

Yangjin Kim and Khalid Boushaba

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11

A computational study of avian influenza   Pages : 1499 - 1509

Shu Liao,  Jin Wang and Jianjun Paul Tian

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12

Nongeneric bifurcations near heterodimensional cycles with inclination flip in $\mathbb{R}^4$   Pages : 1511 - 1532

Dan Liu,  Shigui Ruan and Deming Zhu

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13

Update sequence stability in graph dynamical systems   Pages : 1533 - 1541

Matthew Macauley and Henning S. Mortveit

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14

Conjectures for the existence of an idempotent in $\omega $-polynomial algebras   Pages : 1543 - 1551

Michelle Nourigat and Richard Varro

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15

Backward problems of nonlinear dynamical equations on time scales   Pages : 1553 - 1564

Yunfei Peng,  X. Xiang and W. Wei

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16

Topology and dynamics of boolean networks with strong inhibition   Pages : 1565 - 1575

Yongwu Rong,  Chen Zeng,  Christina Evans,  Hao Chen and Guanyu Wang

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17

Algebraic model of non-Mendelian inheritance   Pages : 1577 - 1586

Jianjun Paul Tian

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18

Periodic solutions of a model for tumor virotherapy   Pages : 1587 - 1597

Daniel Vasiliu and Jianjun Paul Tian

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19

Novel dynamics of a simple Daphnia-microparasite model with dose-dependent infection   Pages : 1599 - 1610

Kaifa Wang and Yang Kuang

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20

On fuzzy filters of Heyting-algebras   Pages : 1611 - 1619

Wei Wang and Xiao-Long Xin

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21

Turing instability in a coupled predator-prey model with different Holling type functional responses   Pages : 1621 - 1628

Zhifu Xie

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22

Dynamics of boolean networks   Pages : 1629 - 1640

Yi Ming Zou

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