Non-linear Waves of Interacting Populations with Density-Dependent Diffusion

Advanced Computing in Industrial Mathematics - Studies in Computational Intelligence ◽

10.1007/978-3-030-71616-5_29 ◽

2021 ◽

pp. 324-332

Author(s):

Elena V. Nikolova ◽

Denislav Z. Serbezov ◽

Ivan P. Jordanov ◽

Nikolay K. Vitanov

Keyword(s):

Density Dependent ◽

Linear Waves ◽

Interacting Populations ◽

Non Linear

Download Full-text

Action of Non-Linear Waves at a Solid Wall

Coastal Engineering 1976 ◽

10.1061/9780872620834.047 ◽

1977 ◽

Author(s):

Mohamed S. Nasser ◽

John A. McCorquodale

Keyword(s):

Solid Wall ◽

Linear Waves ◽

Non Linear

Download Full-text

A stochastic model for two interacting populations

Journal of Applied Probability ◽

10.2307/3211937 ◽

1970 ◽

Vol 7 (3) ◽

pp. 544-564 ◽

Cited By ~ 14

Author(s):

Niels G. Becker

Keyword(s):

Stochastic Model ◽

Linear Models ◽

Death Process ◽

Linear Component ◽

Birth And Death Process ◽

Linear Interaction ◽

Interacting Populations ◽

Non Linear ◽

The Subject ◽

Interaction Component

To explain the growth of interacting populations, non-linear models need to be proposed and it is this non-linearity which proves to be most awkward in attempts at solving the resulting differential equations. A model with a particular non-linear component, initially proposed by Weiss (1965) for the spread of a carrier-borne epidemic, was solved completely by different methods by Dietz (1966) and Downton (1967). Immigration parameters were added to the model of Weiss and the resulting model was made the subject of a paper by Dietz and Downton (1968). It is the aim here to further generalize the model by introducing birth and death parameters so that the result is a linear birth and death process with immigration for each population plus the non-linear interaction component.

Download Full-text