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Table 1 A survey of SIT modelling literature

From: Modelling sterile insect technique to control the population of Anopheles gambiae

  Biological observation Model notes
[38] Foster et al. 1988 Modelled EBS and female-killing of a Computational model that works on
  hypothetical insect population at various discrete generations comparing each male
  migrations, release rates, incomplete sterilities, genotype with each female genotype.
  and number of mutated alleles. Under most,  
  but not all scenarios, EBS achieves better  
  control than female-killing.  
[39] Schliekelman and Gould 2000a The authors model a hypothetical transgenic The model uses combinatorics to determine
  implementation in hypothetical insects a population’s genetic make-up as inherited
  whereby there are multiple lethal genes from parents. Lethality is operational in a
  in released insects and these lethal genes population subset with the correct allele
  are conditional, killing only when certain active in their genotype.
  conditions are met and otherwise propagate. Found that under ideal conditions, this  
  implementation can be far more effective  
  than traditional EBS.  
[40] Schliekelman and Gould 2000b Modelled transgenic implementation whereby This model maintains 20 population signals,
  2–20 lethal genes were engineered into a one for each possible active allele.
  hypothetical insect. As the number of lethal Inheritance is captured as generations
  genes per released animal increases, there is a inherit their genetic makeup from the
  greater chance any one progeny will inherit a previous generation.
  lethal gene. Found under ideal conditions,  
  control could be achieved at rates several  
  orders of magnitude more effectively than  
  single gene EBS.  
[41] Barclay 2001 Modelled EBS in hypothetical insects, with The analysis is performed with a discrete-
  special regard to incomplete sterility and lack time population model. The paper reports
  of competitive mating ability, which cause on many factors including equilibrium
  decreased levels of control success. female population with regards to
   incomplete fertility.
[42] Esteva and Yang 2005 Models EBS implementation in males Equation-based population model with
  engineered to have no sperm. Release density dependent mortality.
  proportion is important.  
[22] Phuc et al. 2007 Compared EBS to LBS. They found that EBS at Time-delayed difference equation model
  low release ratios can increase equilibrium size with a density-dependent mortality in the
  of adult population, but LBS can result in aquatic life-stage and based on [43]. The
  eradication. At high release ratio EBS works but difference between EBS and LBS was
  LBS works better. characterized in population suppression.
[44] Kean et al. 2008 Frequent small releases of EBS moths may be Discrete-time population model with
  more effective than less frequent releases. They overlapping generations. This model takes
  also compared how competitiveness of into account an over flooding parameter
  irradiated males effected control. Models doses and incomplete sterility.
  of radiation which result in reduced, but not  
  complete sterilisation of males to the benefit of  
  increased mating competitiveness.  
[45] Yakob et al. 2009 Modelled LBS, EBS, EFK, and LFK of a Time-delayed difference equation model
  hypothetical insect population at various representing the mosquito’s lifecycle with
  release proportions, migrations, density adult and larval mortality terms.
  dependancies, and fecundities. Found bisex  
  lethal could be preferred over female killing  
  under certain scenarios.  
[46] White et al. 2010 Models Ae. aegypti, EBS and LBS releases. Found Population dynamics are modelled with
  control is more effective with fewer males a time-delayed difference equation model
  released more often than many males released extended from [43]. EBS and LBS are
  less frequently. modelled and the dynamics of injected pulses of mosquitoes are reported.
[47] Deredec et al. 2011 Models an An. gambiae EFK implementation This work extends a population model
  where the X chromosome in sperm is targeted by adding HEG dynamics and focuses on
  (and two other transgenic techniques that are reducing the intrinsic reproductive rate of
  outside the scope of this paper) by release the female population. Density dependent
  of mosquitoes carrying homing endonuclease mortality is considered for larvae.
  genes (HEG). Determined the number of  
  individual HEGs targeting essential mosquito  
  genes required at various mosquito  
  reproductive numbers with various homing  
  rates to eliminate a mosquito population.  
[37] Thailayil et al. 2011 Models release size of spermless An. gambiae Differential equation model with no explicit
  (EBS) males required at differing rates of time latency between generations. The
  occurrences where females mate more than adult female population separated into
  once. Very low levels of remating events were females who have not mated; mated and
  found to have significant negative effects on fertile; mated; and infertile. Population
  the ability to control the mosquito population. persistence was described in terms of the model coefficients.
[48] Dumont and Tchuenche 2011 Found it more effective to have small and Extensive system of equations which
  frequent releases of EBS males over large captures population and compartmental
  infrequent releases. Also EBS works better dynamics.
  when carried out with a larval habitat control  
  program (mechanical control).  
[49] Lee et al. 2013 Modelled EBS & LBS in Ae. aegypti mosquitoes Difference equation model similar to [22]
  under endemic and emerging outbreak but look at an endemic case and emerging
  scenarios. Evaluated various release and outbreak of mosquito populations.
  intervention-region sizes. Found EBS was  
  always more effective than EBS, though the the  
  magnitude varied by situation.  
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