Generalized conditions for coexistence of competing parasitoids on a shared host

Singh, Abhyudai

doi:10.1101/2020.12.24.424343

Cited by 4 publications

(5 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…as a necessary condition for stability. These stability conditions for continuous-time consumer-resource models are analogous counterparts to recently developed stability conditions for discrete-time consumer-resource models [46], [47].…”

Section: Neutrally Stable Lotka-volterra Equilibriummentioning

confidence: 82%

See 1 more Smart Citation

Stochastic dynamics of consumer-resource interactions

Singh

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The interaction between a consumer (such as, a predator or a parasitoid) and a resource (such as, a prey or a host) forms an integral motif in ecological food webs, and has been modeled since the early 20th century starting from the seminal work of Lotka and Volterra. While the Lotka-Volterra predator-prey model predicts a neutrally stable equilibrium with oscillating population densities, a density-dependent predator attack rate is known to stabilize the equilibrium. Here, we consider a stochastic formulation of the Lotka-Volterra model where the prey's reproduction rate is a random process, and the predator's attack rate depends on both the prey and predator population densities. Analysis shows that increasing the sensitivity of the attack rate to the prey density attenuates the magnitude of stochastic fluctuations in the population densities. In contrast, these fluctuations vary non-monotonically with the sensitivity of the attack rate to the predator density with an optimal level of sensitivity minimizing the magnitude of fluctuations. Interestingly, our systematic study of the predator-prey correlations reveals distinct signatures depending on the form of the density-dependent attack rate. In summary, stochastic dynamics of nonlinear Lotka-Volterra models can be harnessed to infer density-dependent mechanisms regulating consumer-resource interactions. Moreover, these mechanisms can have contrasting consequences on population density fluctuations, with predator-dependent attack rates amplifying stochasticity, while prey-dependent attack rates countering to buffer fluctuations.

show abstract

Section: Neutrally Stable Lotka-volterra Equilibriummentioning

confidence: 82%

“…It will also be interestingly to consider competition between two or more consumers, and also look at apparent competition between different prey species attacked by a common predator [85], [86]. Along these lines, new results have recently been developed in the discrete-time framework [46], [87].…”

Section: Normalized Predator Densitymentioning

confidence: 99%

Stochastic dynamics of consumer-resource interactions

Singh

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Moreover, the intersection of the two lines in Fig 1 reveals as a necessary condition for stability. These stability conditions for continuous-time predator-prey models are analogous counterparts to recently developed stability conditions for discrete-time predator-prey models [ 50 , 51 ].…”

Section: Stability Analysis Of the Generalized Lotka-volterra Modelmentioning

confidence: 88%

“…It will also be interesting to consider competition between two or more consumers, and also look at the apparent competition between different prey species attacked by a common predator [ 89 , 90 ]. Along these lines, new results have recently been developed in the discrete-time framework [ 50 , 91 ].…”

Section: Discussionmentioning

confidence: 99%

Stochastic dynamics of predator-prey interactions

Singh

2021

PLoS ONE

Self Cite

View full text Add to dashboard Cite

The interaction between a consumer (such as, a predator or a parasitoid) and a resource (such as, a prey or a host) forms an integral motif in ecological food webs, and has been modeled since the early 20th century starting from the seminal work of Lotka and Volterra. While the Lotka-Volterra predator-prey model predicts a neutrally stable equilibrium with oscillating population densities, a density-dependent predator attack rate is known to stabilize the equilibrium. Here, we consider a stochastic formulation of the Lotka-Volterra model where the prey’s reproduction rate is a random process, and the predator’s attack rate depends on both the prey and predator population densities. Analysis shows that increasing the sensitivity of the attack rate to the prey density attenuates the magnitude of stochastic fluctuations in the population densities. In contrast, these fluctuations vary non-monotonically with the sensitivity of the attack rate to the predator density with an optimal level of sensitivity minimizing the magnitude of fluctuations. Interestingly, our systematic study of the predator-prey correlations reveals distinct signatures depending on the form of the density-dependent attack rate. In summary, stochastic dynamics of nonlinear Lotka-Volterra models can be harnessed to infer density-dependent mechanisms regulating predator-prey interactions. Moreover, these mechanisms can have contrasting consequences on population density fluctuations, with predator-dependent attack rates amplifying stochasticity, while prey-dependent attack rates countering to buffer fluctuations.

show abstract

“…i.e., the function f leads to an equilibrium adult host density H * that is an increasing function of the host reproduction rate R [16], [17]. Many types of population interactions and ecological factors lead to models of the form (2) and stabilize host-parasitoid interactions.…”

Section: Introductionmentioning

confidence: 99%

Generalized conditions for coexistence of competing parasitoids on a shared host

Cited by 4 publications

References 40 publications

Stochastic dynamics of consumer-resource interactions

Stochastic dynamics of consumer-resource interactions

Stochastic dynamics of predator-prey interactions

Attack by a common parasitoid stabilizes population dynamics of multi-host communities

Contact Info

Product

Resources

About