Found 149 Documents (Results 1–100)
A model with ‘growth retardation’ for the kinetic heterogeneity of tumour cell populations. (English) Zbl 1114.92036
A theory of linear delay differential equations in infinite dimensional spaces. (English) Zbl 1130.34054
Arino, O. (ed.) et al., Delay differential equations and applications. Proceedings of the NATO Advanced Study Institute, Marrakech, Morocco, September 9–21, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 978-1-4020-3645-3/hbk; 978-1-4020-3646-0/pbk). NATO Science Series II: Mathematics, Physics and Chemistry 205, 285-346 (2006).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Delay differential equations and applications. Proceedings of the NATO Advanced Study Institute, Marrakech, Morocco, September 9–21, 2002. (English) Zbl 1116.34002
NATO Science Series II: Mathematics, Physics and Chemistry 205. Dordrecht: Kluwer Academic Publishers (ISBN 978-1-4020-3645-3/hbk; 978-1-4020-3646-0/pbk). xxvi, 581 p. (2006).
A mathematical analysis for an aggregation model of phytoplankton. (English) Zbl 1070.92048
Kalla, Shyam L. (ed.) et al., Proceedings of the international conference on mathematics and its applications, ICMA 2004, Kuwait, April 5–7, 2004. Kuwait: Kuwait University, Department of Mathematics and Computer Science; Kuwait: Kuwait Foundation for the Advancement of Sciences (KFAS). 397-405 (2005).
A saddle point theorem for functional state-dependent delay differential equations. (English) Zbl 1085.34063
Reviewer: Paola Rubbioni (Perugia)
The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations. (English) Zbl 1084.92020
An iterative method for functional differential equations. (English) Zbl 1071.34064
Reviewer: Josef Diblík (Brno)
Integrated semigroup associated to a linear delay differential equation with impulses. (English) Zbl 1174.34504
Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey. (English) Zbl 1103.92032
Delays induced in population dynamics. (English) Zbl 1061.34060
Rudnicki, Ryszard (ed.), Mathematical modelling of population dynamics. Collection of papers from the conference, Bȩdlewo, Poland, June 24–28, 2002. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 63, 9-46 (2004).
Reviewer: Yuming Chen (Waterloo)
Infection in prey population may act as a biological control in ratio-dependent predator-prey models. (English) Zbl 1062.34050
Reviewer: Chen Lan Sun (Beijing)
Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model. (English) Zbl 1070.34110
Reviewer: Messoud A. Efendiev (Berlin)
Integrated semigroup and linear ordinary differential equation with impulses. (English) Zbl 1171.34303
Ruan, Shigui (ed.) et al., Dynamical systems and their applications in biology. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3163-1/hbk). Fields Inst. Commun. 36, 17-31 (2003).
Stability of a general linear delay-differential equation with impulses. (English) Zbl 1070.34094
Reviewer: Anatoly Martynyuk (Kyïv)
Attractiveness and Hopf bifurcation for retarded differential equations. (English) Zbl 1039.34065
Reviewer: Jan Sieber (Bristol)
A generalization of a theorem due to Cartwright. (Une généralisation du théorème de Cartwright.) (French) Zbl 1098.34060
Reviewer: Hans F. Günzler (Kiel)
A mathematical analysis of a fish school model. (English) Zbl 1028.34053
Reviewer: Etienne Emmrich (Berlin)
Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system. (English) Zbl 1056.92057
Semigroup properties and the Crandall Liggett approximation for a class of differential equations with state-dependent delays. (English) Zbl 1006.34061
Reviewer: J.Banaś (Rzeszów)
MSC:
34K05
The ideal thermocline equations. (English) Zbl 1078.76627
Cruz Lopez de Silanes, Maria (ed.) et al., Proceedings of the 6th Zaragoza-Pau conference on applied mathematics and statistics. Jaca (Huesca), Spain, September 16–17, 1999. Pau: Publications de Université de Pau et Pays de l’Adour, PUP (ISBN 2-908930-75-7). 193-199 (2001).
Special issue: Alcalá 1st international conference on mathematical ecology (AICME). Univ. of Alcalá, Madrid, Spain, September 4–8, 1998. (English) Zbl 0986.00075
Special issue: Alcalá 1st international conference on mathematical ecology. Session on ‘Fisheries’. Alcalá de Henares, Madrid, Spain, September 4–8, 1998. (English) Zbl 0977.00046
The two-dimensional attractor of a differential equation with state-dependent delay. (English) Zbl 1016.34075
Reviewer: Eduardo Liz (Vigo)
A semigroup representation and asymptotic behavior of certain statistics of the Fisher-Wright-Moran coalescent. (English) Zbl 1004.92026
Shanbhag, D. N. (ed.) et al., Stochastic processes: Theory and methods. Amsterdam: North-Holland/ Elsevier. Handb. Stat. 19, 215-247 (2001).
State-dependent delay differential equations in population dynamics: Modeling and analysis. (English) Zbl 1002.34073
Faria, Teresa (ed.) et al., Topics in functional differential and difference equations. Papers of the conference on functional differential and difference equations, Lisbon, Portugal, July 26-30, 1999. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 29, 19-36 (2001).
Reviewer: Yang Kuang (Tempe)
Computational scheme of a center manifold for neutral functional differential equations. (English) Zbl 0982.65082
Reviewer: Kevin Burrage (Brisbane)
On semigroups of nonlinear operators and the solution of the functional differential equations. (English) Zbl 1011.34067
Reviewer: J.Banaś (Rzeszów)
More on linear differential systems with small delays. (English) Zbl 0989.34053
Reviewer: Michael M.Konstantinov (Sofia)
Periodic and almost-periodic solutions for some delay integral equations in a Hilbert space. (English) Zbl 0978.45004
Existence of periodic solutions for a state dependent delay differential equation. (English) Zbl 0977.34067
Reviewer: Stanislaw Walczak (Łódź)
Estimation of the rate of convergence of semigroups to an asynchronous equilibrium. (English) Zbl 0972.47028
Reviewer: Michael Perelmuter (Kyïv)
Optimal control of a nonlinear elliptic population system. (English) Zbl 0944.35010
Reviewer: O.Arino, J.-A.Montero-Sánchez
Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. (English) Zbl 1011.34031
Reviewer: Stepan Kostadinov (Plovdiv)
Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability. (English) Zbl 0982.34063
Qualitative properties of the solutions of a delay differential equation with impulses. II: Oscillations. (English) Zbl 0989.34054
Convergence in asymptotically autonomous functional differential equations. (English) Zbl 0936.34064
Reviewer: Marcos Lizana (Merida)
An abstract neutral functional differential equation arising from a cell population model. (English) Zbl 0949.34064
Reviewer: Rong Yuan (Beijing)
A predator-prey model with disease in the prey. (English) Zbl 0922.34036
Reviewer: Jihong Dou (Xian)
A nonlinear model for migrating species. (English) Zbl 0955.92034
Reviewer: David S.Boukal (České Budějovice)
An integral equation of cell population dynamics formulated as an abstract delay equation — some consequences. (English) Zbl 0944.92004
Optimal approximation of the initial value problem. (English) Zbl 0944.34001
Reviewer: Andrei Ronto (Kyïv)
A mathematical model of growth of population of fish in the larval stage: Density-dependence effects. (English) Zbl 0938.92028
Periodic and almost-periodic results for some differential equations in Banach spaces. (English) Zbl 0918.34061
Reviewer: Mike Hurley (Cleveland)
MSC:
34G20
Pseudo-almost-periodic solutions for some differential equations in a Banach space. (English) Zbl 0874.34041
Reviewer: S.G.Zhuravlev (Moskva)
On a model representing stage-structured population growth with state-dependent time delay. (English) Zbl 0971.92510
MSC:
92D25
Advances in mathematical population dynamics - molecules, cells and man. Papers from the 4th international conference, Rice Univ., Houston, TX, USA, May 23–27, 1995. (English) Zbl 0907.00046
Series in Mathematical Biology and Medicine. 6. Singapore: World Scientific Publishing. xxvi, 838 p. (1997).
Approximation scheme of a center manifold for functional differential equations. (English) Zbl 0896.34061
Reviewer: K.R.Schneider (Berlin)
Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. (English) Zbl 0886.92020
Reviewer: I.Onciulescu (Iaşi)
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. (English) Zbl 0908.92025
Reviewer: Vladimir V.Kisil (Odessa)
Existence results for initial value problems for neutral functional differential equations. (English) Zbl 0882.34076
Reviewer: R.R.Akhmerov (Novosibirsk)
Subdominant behavior in positive semigroups. The case of a class of delay differential equations. (English) Zbl 0873.34059
Reviewer: A.Rodkina (Voronezh)
Existence of periodic solutions for a delay differential equation via the Poincaré procedure. (English) Zbl 0867.34059
MSC:
34K13
Least square approximation of a nonlinear ordinary differential equation. (English) Zbl 0855.65066
Reviewer: D.Petcu (Timişoara)
Positive almost periodic solution for some nonlinear delay integral equation. (English) Zbl 0858.45003
Reviewer: J.Banaś (Rzeszów)
Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations. (English) Zbl 0855.34055
Reviewer: S.G.Zhuravlev (Moskva)
Periodic and almost periodic solutions of differential equations in Banach spaces. (English) Zbl 0841.34046
Reviewer: V.V.Obukhovskij (Voronezh)
Backward/forward duality of branching processes and cell population dynamics. (English) Zbl 0940.92007
Martelli, Mario (ed.) et al., Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Stavros Busenberg (1941-1993), Claremont, CA, USA, June 1-4, 1994. Singapore: World Scientific. 233-240 (1996).
Reviewer: Hans-Peter Altenburg (Heidelberg)
Existence of periodic solution for some neutral nonlinear integral equation with delay time dependent. (English) Zbl 0887.45008
Reviewer: Arpad Takači (Novi Sad)
A variation of constants formula for an abstract functional differential equation of retarded type. (English) Zbl 0879.34072
Reviewer: H.Petzeltová (Praha)
The delay effects on the behavior of solutions of reaction diffusion equations with delay. (English) Zbl 0879.35157
Reviewer: S.P.Banks (Sheffield)
Asymptotically diagonal delay differential systems. (English) Zbl 0876.34078
Reviewer: I.Ginchev (Varna)
The necessary and sufficient conditions for the integral of a multivalued map to be a polygon. (English) Zbl 0854.49019
Reviewer: X.Q.Yang (Nedlands)
Determination of the stability of a nonlinear ordinary differential equation by least square approximation. Computational procedure. (English) Zbl 0823.34053
Reviewer: W.Müller (Berlin)
Linear theory of abstract functional differential equations of retarded type. (English) Zbl 0821.34074
Reviewer: R.Nagel (Tübingen)
On the uniqueness of a retarded differential system. (Sur l’unicité des solutions périodiques du système différentiel à retard.) (French) Zbl 0903.34055
Reviewer: Miloš Čanak (Beograd)
MSC:
34K05
Necessary and sufficient condition for the oscillation of higher-order neutral differential system with several delays. (English) Zbl 0889.34063
Reviewer: Vojislav Marić (Novi Sad)
A proof of characterisation of oscillation for higher-order neutral differential equations of mixed type by the Laplace transform. (English) Zbl 0812.34066
Reviewer: S.Staněk (Olomouc)
Two simple models of almost the same population with very different dynamics. (English) Zbl 0823.92020
Reviewer: R.Bürger (Wien)
A nondifferentiable semigroup generated by a model of cell population dynamics. (English) Zbl 0827.92020
Reviewer: G.F.Webb (Nashville)
Poincaré procedure for an ordinary differential system perturbed by a functional term. (English) Zbl 0868.34037
MSC:
34D20
On the existence and uniqueness for an age-dependent population model with nonlinear growth. (English) Zbl 0845.35004
Reviewer: V.Georgiev (Sofia)
MSC:
35A05
35F30
More on ordinary differential equations which yield periodic solutions of delay differential equations. (English) Zbl 0798.34067
Reviewer: I.Foltyńska (Poznań)
Hopf global bifurcation for retarded equations using integrated semigroups. (Bifurcation de Hopf globale pour des équations à retard par des semi- groupes intégrés.) (French. Abridged English version) Zbl 0783.34054
Comparison of approaches to modeling of cell population dynamics. (English) Zbl 0796.92019
Reviewer: R.Manthey (Jena)
Compactness and spectral properties for positive translation semigroups associated to models of populations dynamics. (English) Zbl 0782.92012
Reviewer: S.Totaro (Firenze)
Uniqueness of periodic solutions of a second order ODE implied by jump discontinuities of the coefficients. (English) Zbl 0832.34027
Agarwal, R. P. (ed.), Recent trends in differential equations. Singapore: World Scientific Publishing. World Sci. Ser. Appl. Anal. 1, 31-45 (1992).
MSC:
34C25
A periodicity result for a nonlinear function integral equation. (English) Zbl 0754.45007
Reviewer: W.Petry (Düsseldorf)
On the existence of periodic solutions for a class of nonlinearly forced systems. (English) Zbl 0787.34034
Reviewer: P.Smith (Keele)
MSC:
34C25
Bifurcation properties for a sequence of approximation of delay equations. (English) Zbl 0767.34050
Reviewer: G.Karakostas (Ioannina)
Slow oscillations in a model of cell population dynamics. (English) Zbl 0774.92013
Mathematical population dynamics, Proc. 2nd Int. Conf., New Brunswick/NJ (USA) 1989, Lect. Notes Pure Appl. Math. 131, 13-25 (1991).
Reviewer: G.Gripenberg (Espoo)
Analysis of a cell population model with unequal division and random transition. (English) Zbl 0779.92012
Mathematical population dynamics. Proc. 2nd Int. Conf., New Brunswick/NJ (USA) 1989, Lect. Notes Pure Appl. Math. 131, 3-12 (1991).
Reviewer: G.F.Webb (Nashville)
Mathematical population dynamics. Proceedings of the second international conference, held May 17-20, 1989, at Rutgers University, New Brunswick, NJ, USA. (English) Zbl 0742.00058
Lecture Notes in Pure and Applied Mathematics 131. New York etc.: Marcel Dekker, Inc. (ISBN 0-8247-8424-3/pbk). xv, 785 p. (1991 ).
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