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REFERENCES
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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