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Index

Abrahamson D.L. 264

absolute stability 193, 194, 217 Aftabizadeh A.R. 79

Akhmerov R.R. 393 Alexander J.C. 148 Amemiya T. 447 almost periodic 37

an der Heiden 208, 307 Anderson B.D.O. 447

Anvarinov R. 386 Araki M. 228, 230, 337, 363

Arino O. 37, 256, 468 Arzela-Ascoli 45, 78

Ashkenazi M.

Atkins G.L.

Ayala F.J.

Bailey H.R.

Bainov D.D.

Banks H.T.

148 355

195

447

90

255, 298, 318, 375 Barbiilat I. 4, 5, 30, 31, 264, 325, 396,

426, 436

Barbashin E.A. 90, 215, 339

Barbu, V. 27

Barker G.P. 339

Brayton R.K. 466

Brelot M. 200 Brian M. V. 182, 298

Bromwich T.J. 36 Brouwer fixed point theorem 360

Brumley W.E. 393

Burton T.A.

Busenberg S.N.

Cai Sui Lin

Carvalho L.A. V.

Castelan W.B.

14,31,217,271

263,373,374

239 264

264 Chandra J. 148 Chang Hsueh Ming 239

chaotic behavior 79, 307,311 characteristic exponent 139, 142 Chew K.H. 222

Chin Yuan Shun 239

Chow S.N. 131

Coddington E. 127 coexistence 347

Cohen D.S. 124, 148

comparison 48, 54, 222, 225

compartments 355,361,363,366,368,

460

Bellman R. i,

211,310

9, 126, 188, 206, 207, competition 168, 182, 195 competitive exclusion 306

Berman A. Borisenko S.D.

295 90

Borsellino A. 124

Boucher D.H. 191

Braddock R.D. 109

contraction 429, 430 Cooke K.L. 14,79,239

cooperation 168, 172, 182, 191, 194, 318, 326, 340

Coppel W.A. 192,321

498

Corduneanu C. 26,91

coupled oscillators 148

Crandall M. 138

Cushing J.M. ii, 124, 125, 131,

173, 200, 201, 327

Datko R. 264,393,436,472 Dean A.M. 191

delay independent 60, 180,217,472

delay logistic 2, 55, 71, 87, 95, 116,

123, 162, 173, 201, 314

density dependent 1, 172, 182, 183

difference equation 87, 88

differential inequality 32, 41, 43, 73,

227, 229, 300 Driver R.D. i, 12, 18, 103

Edelstein - Keshet L. 11

Eisenfeld J. 388

El'sgol'ts L.E. i, 145, 448

equations with impulses 90

exploitation 196, 298

F argue D.M. 2, 336 feedback control 95, 121, 446

Field R.J. 148

Fisher M.E. 87, 88

Floquet exponents 138, 156, 157

Floquet technique 138

food limited 107

Fox L. 36, 236

Franklin J. 45

Franklin J.N. 259,308

Fredholm alternative 133, 141

Freedman H.I. ii, 253, 436

Fukagai N. 68, 403

Index

Gantmacher F.R. 219, 230

Gard T. C. 383, 384

Gershgorin's theorem 259, 308, 364

Goel N.S. ii, 210

global attractivity 87, 110, 292, 367,

375 global stability 55

Gopalsamy K. 79, 90, 95, 100, 107,

148, 149, 186, 196, 208, 222, 253,

277,296,298,306,399405,408,418

Gosiewski A. 212

Gromova P.S. 217, 393

Gurgula S.I. 90

Gyori I. 79, 81, 361, 366, 460

Haddock J.R. 14

HalanayA. 64,126,133,227

Hale J.K. i, 37, 126, 131, ,179, 187,

255, 419, 422, 466

haematopoiesis 107

Harrison G. W. 338

Hassard M.W. 127,147

HenlY D. 37, 393 Hirsch M. W. 307,318, 326

Hofbauer J. 347, 351, 372

Hopf E. 126, 128, 130, 131

Hopf-bifurcation 124, 125, 126, 130,

151

Howard L.N. 148

Hsu S.B. 283,298,384

Huang Z.x. 219 Hunt B.R. 14

Hutchinson G.E. 1, 173, 196, 201

hypercooperation 318, 324, 326

hyperlogistic 60

Index 499

Implicit function theorem 132, 136, Ladde G.S. 54, 95

142, 157 Landman K.A. 124, 125, 151

impulsive 116, 117, 121, 356 large scale systems 447, 448, 453

Infante E.F. 264 LaSalle J.P. 88, 339

infinite product 36 Lebesgue convergence theorem 46,

in-phase 151, 154, 155, 159 413 integral representation 11 Lefever R. 148

interference 182, 195, 196, 298, 299 Lenhart S.M. 62 interspecific competition 183, 189, 298 Levin J.J. 6

intraspecific 183, 186,298, 299 Lewis R.M. 355,361 invariance principle 89 Liao Xiaoxin 447

Jacquez J.A. 355

Jansen W. 372

Jiong R. 352,

Jones G.S. 1

Kakutani S. 1

Kato J. 34 Kawata M. 148

Kaykobad M. 294

Khusainov D. Ya. 214, 436

Kirlinger G. 351,353,372

Kobnanovskii V.B. i, 394

Koplatadze R.G. 73

Kozakiewicz E. 48

Krasnoselskii M.A. 318 Krasovskii N.N. i,126

Krikorian N. 339, 385

Krisztin T. 361,367

Kuang Y. 430,436,472

Kulenovic M.R.S. 67,399,400

Kuramoto Y. 148

Lim E.B. 235 Li Ming Li 291,443

limit cycle 127,347 linear analysis 172

linear stability criteria 3

linear oscillators 37

Li Senlin 436

MacCamy R.C. 112

MacDonald N. 2, 336

Maeda H.S. 355

Marcus C.M. 369

Marsden J.E. 127, 128, 142

Martin Jr. R.H. 318, 319, 321

Martynyuk A.A. 387 Matano H. 326 matrix measure 257,356,443

May R.M. ii, 79, 307

Maynard Smith J. 11

Mazanov A. 355

mean diagonal dominance 330 Michel A.N. 447

Ladas G.

469

18, 20, 38, 68, 401, 403, 407 Mikhailova M.P. 321 Miller R.S. 298

500

Misnik A.F. 436

M-matrix 227-230, 232-235, 317, 337 Mori T. 222

Morita Y. 148

Mulholland RJ. 355 Murdoch W.W. 196 Murray J.D. II

mutualism 172, 191, 318

Myshkis A.D. 54

Nashed M. 414 negative feedback 9, 60, 174, 180, 186

neural networks 369,473 neutral equations 393

neutral logistic 418 neutral Lotka Volterra system 430,

467 Noonberg V. W. 348 Nunney L. 203

Obolenskii A. Yu. 374

Ohta Y. 318, 321 Oliveira-Pinto 11

Pandit S.G. 90

Pavlidis T. 148

Perestyuk O.S. 90

Perron-Frobenius 230, 295

persistence 347, 348, 351, 352, 353, 460

Peschel M. 318

Philos Ch.G. 469

piecewise constant 78

Pielou E.C. 418

Pirabakaran R 122

Plemmons R V. 61, 337

Index

positive definite 61, 219, 333, 336

positive feedback 179, 186 positivity condition 26

Post W.M. 336, 337

Qin Yuan Xun 239, 285

Razumikhin B.S. 218

respiratory model 107 llicklefs RE. 2 robust stability 460

Rose M.R 11

Rouche's Theorem 11,365,423

Routh-Hurwitz 150, 204, 248, 393 Royden H.L. 46

Rozhkov V.I. 212,237

Sandberg I. W. 321, 355 Sattinger D.H. 136, 138, 154

Schauder-Tychonoff 45, 76, 78, 414 Schoener T. W. 196 Schuster P. 383

Scudo F.M. ii Seifert G. 32

Selgrade J.F. 318 Shibata A. 307,311

Siljak D.D. 447,450

simple stability criteria 263 Simpson H.C. 125

Sinha A.S.C. 32 Slobodkin L.B. ii

Smale S. 148,307 Smith H.L. 318, 321 Smith F.E. 418

Snow W. 393

spectral radius 230, 295, 449

stability switches 193, 208, 239

Staffans O. 112

Stech H.W. 131 Stokes A. 137, 138, 139

strongly positive 26,27,29, 62

synchronous 154, 155

Tokumaru H. 225,227,229,317

Torre V. 166

transport delays 365

Tsalyuk V.Z. 212

Turner Jr.M.E. 318

Unbounded delay 30,34,453

Vandermeer, J.H. 191

variation of constants 19,451,455

Vescicik M. 75 Vidyasagar M. 257

Volterra V. 124

Waltman P. ii

Wang Lian 239

Wangersky P.J. 201

Index

Wenru W. 352

Wheldon T.E. 279 Winfree A.T. 148 Winsor C.P. 196

Winston E. 51

Wolin C.L. 191

501

Worz Busekros A. 148,327,336,378

Wright E.M. 1

Wu J. 436

XU D.Y. 274

Van J. 45

Yamada Y. 62

Yodzis P. ii Yoneyama T. 14, 20

Yorke J.A. 14

Zhang B.G. 19, 76, 407

Zhang Vi. 447, 449, 454, 457

Zhivotovskii L.A. 284 Zverkin A.M. 393, 394