A conceptual minimal model demonstrating spatially heterogeneous wave regimes interpreted as pursuit-evasion in predator-prey system is constructed and investigated. The model is based on the earlier proposed hypothesis that taxis accelerations of prey and predators are proportional to the density gradient of another population playing a role of taxis stimulus. Considering acceleration rather t...

In this paper, a reaction–diffusion system of a predator–prey model with Beddington–DeAngelis functional response is considered. This model describes a prey-taxis mechanism that is an immediate movement of the predator u in response to a change of the prey v (which leads to the collection of u). We use some approaches to prove the global existence-boundedness of classical solutions and overcome...

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Anonymous network communication protocols provide privacy for Internetbased communication. In this paper, we focus on the performance and scalability of anonymity protocols. In particular, we develop performance models for two anonymity protocols from the prior literature (Buses and Taxis), as well as our own newly proposed protocol (Motorcycles). Using a combination of experimental implementat...

Spatially moving predators are often considered for biological control of invasive species. The question arises as to whether introduced predators are able to stop an advancing pest or foreign population. In recent studies of reaction-diffusion models, it has been shown that the prey invasion can only be stopped if the prey dynamics observes an Allee effect. In this paper, we include prey-taxis...

Finding a parking space is a key mobility problem in urban scenarios. Parking Guidance Information (PGI) systems could mitigate this issue, but they require information about on-street parking availability. An encouraging solution discussed in the literature is crowd-sensing by a fleet of probe vehicles, which can continuously scan the current state of parking lanes during their regular trips. ...