We give a comprehensive review of Chesson's coexistence theory, summarizing, for the first
time, all its fundamental details in one single document. Our goal is for both theoretical and …

A quantitative approach to species coexistence based on the invasibility criterion has led to
an appreciation of coexistence mechanisms in terms of stabilizing and equalizing …

For two competing species, intraspecific competition must exceed interspecific competition
for coexistence. To generalize this well-known criterion to multiple competing species, one …

Competition and mutualism are inevitable processes in microbial ecology, and a central
question is which and how many taxa will persist in the face of these interactions. Ecological …

Aiming at the k-winners-take-all (kWTA) operation, this paper proposes a gradient-based
differential kWTA (GD-kWTA) network. After obtaining the network, theorems and related …

This paper is concerned with the winner-take-all (WTA) problem on networks. We propose
the first distributed protocol to address this problem dynamically. This protocol features …

The winner-take-all (WTA) competition is widely observed in both inanimate and biological
media and society. Many mathematical models are proposed to describe the phenomena …

Recent developments in competition theory—namely, modern coexistence theory (MCT)—
have aided empiricists in formulating tests of species persistence, coexistence, and …

Among approaches to establish the importance of niche differentiation for species
coexistence, the use of functional traits is attractive for its potential to suggest specific …

In this paper, we are interested in an integro-differential model that describe the evolution of
a population structured with respect to a continuous trait. Under some assumption, we are …