#### Filter Results:

#### Publication Year

1993

2016

#### Publication Type

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

Transmissible diseases are known to induce remarkable major behavioral changes in predator-prey systems. However, little attention has been paid to model such situations. The latter would allow to predict useful applications in both dynamics and control. Here the Holling-Tanner model is revisited to account for the influence of a transmissible disease,… (More)

The structure of a network dramatically affects the spreading phenomena unfolding upon it. The contact distribution of the nodes has long been recognized as the key ingredient in influencing the outbreak events. However, limited knowledge is currently available on the role of the weight of the edges on the persistence of a pathogen. At the same time, recent… (More)

We consider a system of delay differential equations modeling the predator-prey ecoepidemic dynamics with a transmissible disease in the predator population. The time lag in the delay terms represents the predator gestation period. We analyze essential mathematical features of the proposed model such as local and global stability and in addition study the… (More)

- Veronica Aimar, Sara Borlengo, Silvia Motto, Ezio Venturino
- 2014

Landscape disruption effects in a meta-epidemic model with steady state demographics and migrations saturation. Abstract We continue the investigations of an ecosystem where a epidemic-affected population can move between two connected patches, [1], by considering what happens to the system when the migration paths are interrupted in one direction, or when… (More)

We study an eco-epidemic model with two trophic levels in which the dynamics are determined by predator-prey interactions as well as the vulnerability of the predator to a disease. Using the concept of generalized models we show that for certain classes of eco-epidemic models quasiperiodic and chaotic dynamics are generic and likely to occur. This result is… (More)

We investigate the possibility of applying approximation methods to the famous Muskhelishvili equation on a simple closed smooth curve Γ. Since the corresponding integral operator is not invertible the initial equation has to be corrected in a special way. It is shown that the spline Galerkin, spline collocation and spline qualocation methods for the… (More)