Population Dynamics and Parasitic Castration: A Mathematical Model

1987 ◽  
Vol 129 (5) ◽  
pp. 730-754 ◽  
Author(s):  
Sally Blower ◽  
Jonathan Roughgarden
Keyword(s):  
Mathematical Model ◽  
Population Dynamics ◽  
Parasitic Castration

scholarly journals A mathematical model of the population dynamics of disease-transmitting vectors with spatial consideration

2011 ◽  
Vol 5 (4) ◽  
pp. 335-365 ◽  
Author(s):  
Siewe Nourridine ◽  
Miranda I. Teboh-Ewungkem ◽  
Gideon A. Ngwa
Keyword(s):  
Mathematical Model ◽  
Population Dynamics

scholarly journals How host phenology impacts multi-season epidemic cycles

2021 ◽  
Author(s):  
Hannelore MacDonald ◽  
Dustin Brisson
Keyword(s):  
Mathematical Model ◽  
Population Dynamics ◽  
Population Cycles ◽  
Seasonal Activity ◽  
Host Interactions ◽  
Host Phenology ◽  
Demographic Impact ◽  
Host Parasite ◽  
Parasite Populations ◽  
Parasite Dynamics

Parasite-host interactions can result in periodic population dynamics when parasites over-exploit host populations. The timing of host seasonal activity, or host phenology, determines the frequency and demographic impact of parasite-host interactions which may govern if the parasite can sufficiently over-exploit their hosts to drive population cycles. We describe a mathematical model of a monocyclic, obligate-killer parasite system with seasonal host activity to investigate the consequences of host phenology on host-parasite dynamics. The results suggest that parasites can reach the densities necessary to destabilize host dynamics and drive cycling in only some phenological scenarios, such as environments with short seasons and synchronous host emergence. Further, only parasite lineages that are sufficiently adapted to phenological scenarios with short seasons and synchronous host emergence can achieve the densities necessary to over-exploit hosts and produce population cycles. Host-parasite cycles can also generate an eco-evolutionary feedback that slows parasite adaptation to the phenological environment as rare advantageous phenotypes are driven to extinction when introduced in phases of the cycle where host populations are small and parasite populations are large. The results demonstrate that seasonal environments can drive population cycling in a restricted set of phenological patterns and provides further evidence that the rate of adaptive evolution depends on underlying ecological dynamics.

A Mathematical Model for Bone Cell Population Dynamics of Fracture Healing Considering the Effect of Energy Dissipation

2021 ◽  
pp. 33-52
Author(s):  
Mahziyar Darvishi ◽  
Hooman Dadras ◽  
Mohammad Mahmoodi Gahrouei ◽  
Kiarash Tabesh ◽  
Dmitry Timofeev
Keyword(s):  
Mathematical Model ◽  
Population Dynamics ◽  
Energy Dissipation ◽  
Fracture Healing ◽  
Cell Population ◽  
Bone Cell ◽  
Cell Population Dynamics

scholarly journals The Strassen invariance principle for certain non-stationary Markov–Feller chains

2020 ◽  
Vol 121 (1) ◽  
pp. 1-34 ◽  
Author(s):  
Dawid Czapla ◽  
Katarzyna Horbacz ◽  
Hanna Wojewódka-Ściążko
Keyword(s):  
Gene Expression ◽  
Mathematical Model ◽  
Population Dynamics ◽  
Invariance Principle ◽  
Probability Function ◽  
Stochastic Dynamics ◽  
Transition Probability ◽  
Type Condition ◽  
Iterated Logarithm ◽  
Transition Probability Function

We propose certain conditions implying the functional law of the iterated logarithm (the Strassen invariance principle) for some general class of non-stationary Markov–Feller chains. This class may be briefly specified by the following two properties: firstly, the transition operator of the chain under consideration enjoys a non-linear Lyapunov-type condition, and secondly, there exists an appropriate Markovian coupling whose transition probability function can be decomposed into two parts, one of which is contractive and dominant in some sense. Our criterion may serve as a useful tool in verifying the functional law of the iterated logarithm for certain random dynamical systems, developed e.g. in biology and population dynamics. In the final part of the paper we present an example application of our main theorem to a mathematical model describing stochastic dynamics of gene expression.

scholarly journals A Mathematical Model of the Population Dynamics of Heterakis Gallinarum in Turkeys (Meleagridis Gallopavo)

2004 ◽  
Vol 83 (10) ◽  
pp. 1629-1635 ◽  
Author(s):  
K. Chalvet-Monfray ◽  
P. Sabatier ◽  
C. Chauve ◽  
L. Zenner
Keyword(s):  
Mathematical Model ◽  
Population Dynamics ◽  
Heterakis Gallinarum
Sign in / Sign up

Export Citation Format

Share Document