The environmental feedback loop could be a crucial condition for the specie population resilience. In most cases, such a loop could be determined through the environmental temperature and supply of available resources. Here, we present a resource competition model for species populations with environmental feedback. We find the conditions when the environmental feedback loop in this model may destroy the equilibrium in population; increase species abundances; and lead to biomass loss.

1.
F. S.
Chapin
 III,
J. T.
Randerson
,
A. D.
McGuire
,
J. A.
Foley
, and
C. B.
Field
, “
Changing feedbacks in the climate±biosphere system
,”
Frontiers in Ecology and the Environment
6
,
313
–
320
(
2008
).
https://doi.org/10.1890/080005
Google Scholar
Crossref
Search ADS
 
2.
D. I. A.
McKay
,
A.
Staal
,
J. F.
Abrams
,
R.
Winkelmann
,
B.
Sakschewski
,
S.
Loriani
,
I.
Fetzer
,
S. E.
Cornell
,
J.
Rockström
, and
T. M.
Lenton
, “
Exceeding 1.5◦C global warming could trigger multiple climate tipping points
,”
Science
377
, eabn7950 (
2022
).
Google Scholar
 
3.
V.
Kozlov
,
S.
Vakulenko
, and
U.
Wennergren
, “
Biodiversity, extinctions, and evolution of ecosystems with shared resources
,”
Phys. Rev. E
95
,
032413
(
2017
).
https://doi.org/10.1103/PhysRevE.95.032413
Google Scholar
Crossref
Search ADS
PubMed
 
4.
Kozlov
,
V.
,
V.
Tkachev
,
S.
Vakulenko
, and
Wennergren
,
U.
, “
Global stability and persistence of complex foodwebs
,”
Annali di Matematica Pura ed Applicata
198
,
1
±
17
(
2019
).
https://doi.org/10.1007/s10231-019-00840-1
Google Scholar
Crossref
Search ADS
 
5.
S. A.
Vakulenko
,
I.
Sudakov
,
S. V.
Petrovskii
, and
D.
Lukichev
, “
Stability of a planetary climate system with the biosphere species competing for resources
,”
Phys. Rev. E
103
,
022202
(
2021
).
https://doi.org/10.1103/PhysRevE.103.022202
Google Scholar
Crossref
Search ADS
PubMed
 
6.
I.
Sudakov
,
S. A.
Vakulenko
,
D.
Kirievskaya
, and
K. M.
Golden
, “
Large ecosystems in transition: Bifurcations and mass extinction
,”
Ecolog-ical Complexity
32
,
209
–
216
(
2017
).
https://doi.org/10.1016/j.ecocom.2017.01.002
Google Scholar
Crossref
Search ADS
 
7.
J.
Huisman
 and
F. J.
Weissing
, “
Biodiversity of plankton by oscillations and chaos
,”
Nature
402
,
407
–
410
(
1999
).
https://doi.org/10.1038/46540
Google Scholar
Crossref
Search ADS
 
8.
I.
Sudakov
,
S. A.
Vakulenko
, and
J. T.
Bruun
, “
Stochastic physics of species extinctions in a large population
,”
Physica A: Statistical Mechanics and its Applications
585
,
126422
(
2022
).
https://doi.org/10.1016/j.physa.2021.126422
Google Scholar
Crossref
Search ADS
 
9.
I.
Sudakov
,
S. A.
Vakulenko
,
D.
Kirievskaya
, and
E.
Cherniavskaia
, “
Species extinction at the various environmental forcing in a stochastic ecosystem model
,”
Journal of Physics: Conference Series
2052
,
012043
(
2021
).
Google Scholar
 
10.
S. A.
Vakulenko
,
I.
Sudakov
, and
L.
Mander
, “
The influence of environmental forcing on biodiversity and extinction in a resource competition model
,”
Chaos: An Interdisciplinary Journal of Nonlinear Science
28
,
031101
(
2018
).
https://doi.org/10.1063/1.5017233
Google Scholar
Crossref
Search ADS
 
11.
S.-B.
Hsu
 and
T.-H.
Hsu
, “
Competitive exclusion of microbial species for a single nutrient with internal storage
,”
SIAM Journal on Applied Mathematics
68
,
1600
–
1617
(
2008
).
https://doi.org/10.1137/070700784
Google Scholar
Crossref
Search ADS
 
12.
I.
Sudakow
,
C.
Myers
,
S.
Petrovskii
,
C. D.
Sumrall
, and
J.
Witts
, “
Knowledge gaps and missing links in understanding mass extinctions: Can mathematical modeling help?
”
Physics of Life Reviews
41
,
22
–
57
(
2022
).
https://doi.org/10.1016/j.plrev.2022.04.001
Google Scholar
Crossref
Search ADS
PubMed
 
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