Exploring Ecological Interactions Using the Generalized Lotka-Volterra Model: Coexistence and Resilience of Populations
Ecological Interactions; Generalized Lotka-Volterra model; Population Resilience
To understand ecological communities, we must understand the complex dynamical patterns that
emerge from population interactions. Indeed, ecological communities are non-randomly assem-
bled, and the interactions between populations have distinct architectures or topologies. Through
this structure of interactions, populations and species inuence each other's growth in an intricate
manner. These dynamics unveils itself in community-wide emergent properties, such as community
stability. During the last century, many central advancements in ecology stemmed from mathemat-
ical methods based on dynamical systems theory. More recently, the representation of ecological
communities as complex networks, such as food webs and competitive or mutualistic networks,
provided additional insights into the ecology of communities. Several authors contributed to our
current knowledge on the interplay between the structure and dynamics of complex ecosystems.
Despite the extensive developments in this area, many questions are not yet settled. Notably, the
distribution of each type of dynamics (attractors) in ecological models was seldomly studied in
favor of the assumption of equilibrium. Additionally, an approach exploring the ubiquity of known
results linking community stability to structure-related parameters in the parameter space is of
great importance. In this study, we aim at contributing to this endeavor by performing simula-
tions based on the generalized Lotka-Volterra model (gLV) across a wide parameter space range.
In accordance, our research objective is to present an overview of the gLV asymptotic dynamics,
coexistence, and resilience by performing a comprehensive computational exploration integrating
variability in type, intensity, and distribution of interspecic ecological interactions. We found that
dierent dynamics of ecological communities can be described by specic parametrizations of the
gLV, despite a large prevalence of parameter combinations leading to unlimited growth of some
populations in the community. We were also able to detect known patterns, such as the negative
impact of cooperation upon the resilience of communities and the occurrence of competitive exclu-
sion in speciose communities. Signicantly, our research contributes to the longstanding question
of the interconnections between the structure and stability of ecological communities.