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Dynamics of a two sex population with gestation period

100%

Busoni G., Palczewski A.

Applicationes Mathematicae

2000

tom 27

nr 1

21-34

We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent') solutions and show that such solutions exist if the model parameters satisfy two nonlinear relations.

Attractors for non-autonomous retarded lattice dynamical systems

88%

Caraballo T., Morillas F., Valero J.

Nonautonomous Dynamical Systems

2015

tom 2

nr 1

In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Nonautonomous Dynamical Systems

1 Busoni G.

1 Caraballo T.

1 Morillas F.

1 Palczewski A.

1 Valero J.

1 2015

1 2000

Wyniki wyszukiwania

Dynamics of a two sex population with gestation period

Attractors for non-autonomous retarded lattice dynamical systems