English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we use asymptotic analysis to determine the steady-state meannumber of resources in each of $N$ small interior targets within athree-dimensional bounded domain. The accumulation of resources is based onmultiple rounds of search-and-capture events; whenever a searcher finds atarget it delivers a resource packet to the target, after which it escapes andreturns to its initial position (resetting after capture). The searcher is thenresupplied with cargo and a new search process is initiated after a randomdelay. Assuming that the accumulation of resources is counterbalanced bydegradation, one can derive general expressions for the moments of the resourcedistribution. We use this to show that the mean number of resources in a targetis proportional to its effective "shape capacitance." We then extend theanalysis to the case of diffusive search with stochastic resetting beforecapture, where the position of the searcher is reset to its initial position ata random sequence of times that is statistically independent of the ongoingsearch process, in contrast to the sequence of resetting times after capture.

Target competition for resources under diffusive search-and-capture