326 research outputs found
Modeling the herd prey response to individualistic predators attacks
In this paper, we consider predators hunting on prey gathered in groups and in such way exhibiting the possibility of reducing the predators pressure. To model this feature, however, we depart from the Holling type II (HTII) response function, in that we assume that a sufficiently large set of prey could respond to individualistic attacks and therefore induce the predator to renounce. The basic idea is described at first in a simple two-populations predator-prey system. It is then expanded considering the generalist predators to deal with two prey. In the first case, both are gathered in herds, and in the second one, one of the two instead behaves individualistically. The net outcome is an enhanced survival for the prey with respect to both the herding cases without and with predators feeding satiation (i.e., using the HTII response)
A Mathematical Model Supporting a Hyperpredation Effect in the Apparent Competition Between Invasive Eastern Cottontail and Native European Hare
Predator's alternative food sources do not support ecoepidemics with two-strains-diseased prey
An ecoepidemic model is presented, in which two diseases affect the prey. Predators are allowed to have other food sources. Equilibria are analyzed for feasibility and stability. The most striking result is that in these conditions the two strains cannot both survive in the system, contrary to what is possible to obtain, under suitable assumptions, in standard epidemic models
A minimal model coupling communicable and non-communicable diseases
This work presents a model combining the simplest communicable and
non-communicable disease models. The latter is, by far, the leading cause of
sickness and death in the World, and introduces basal heterogeneity in
populations where communicable diseases evolve. The model can be interpreted as
a risk-structured model, another way of accounting for population
heterogeneity.
Our results show that considering the non-communicable disease (in the end,
heterogeneous populations) allows the communicable disease to become endemic
even if the basic reproduction number is less than . This feature is known
as subcritical bifurcation. Furthermore, ignoring the non-communicable disease
dynamics results in overestimating the reproduction number and, thus, giving
wrong information about the actual number of infected individuals. We calculate
sensitivity indices and derive interesting epidemic-control information.Comment: 19 pages, 5 figure
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