Abstract
Golden Apple Snail(GAS) (Pomacea canaliculata), popularly known in the Philippines as “golden kuhol” is considered a serious invader in a paddy ecosystem. Rice farmers consider it as a notorious invasive species and a serious pest in several rice farms. In this study, we model the predation of rice plants and weeds by GAS. We formulate three ordinary differential equations to model the simplified dynamics of apple snails, rice plants and weeds in the presence of harvesting on snails. We then investigate the mathematical features of the model and analyze the stability of equilibria. Actual death and harvesting rates on GAS gathered from actual field experiments conducted on the enclosed rice paddies are used for the parameters in the numerical simulations to demonstrate the potential effect of snail harvesting.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Birkhoff, G., Rota, G.C.: Ordinary Differential Equations. Wiley, USA (1989)
Cagauan, A.G., Joshi, R.C.: Golden apple snail pomocea spp. in the philippines: review on levels of infestation, control methods, utilization and future research directions. J. Agric. Life Sci. 37(2), 7–32 (2003)
Edelstein-Keshet, L.: Mathematical Models in Biology. Random House Inc, New York (1988)
Estoy Jr., G.F., Yusa, Y., Wada, T., Sakurai, H., Tsuchida, K.: Size and age at first copulation and spawning of the apple snail, pomacea canaliculata (gastropoda: Ampullariidae). Appl. Entornol. Zool. 37(1), 199–205 (2002)
Freedman, H.I., Waltman, P.: Persistence in models of three interacting predator-prey populations. Math. Biosci. 68, 213–231 (1984)
Guo, J., Martin, P.R., Zhang, C., Zhang, J.: Predation risk affects growth and reproduction of an invasive snail and its lethal effect depends on prey size. PLoS ONE 12(11), 1–14 (2017)
Kar, T.K., Chakraborty, K.: Effort dynamics in a prey-predator model with harvesting. Int. J. Inf. Syst. Sci. 6(3), 318–332 (2010)
Kar, T.K., Chaudhuri, K.S.: Regulation of a prey-predator fishery by taxation: a dynamics reaction model. Ecol. Model. 11(2), 173–187 (2003)
Kar, T.K., Matsuda, H.: Controllability of a harvested prey-predator system with time delay. J. Biol. Syst. 14(2), 243–254 (2006)
Kar, T.K., Matsuda, H.: Global dynamics and controllability of a harvested prey-predator systems with holling type iii functional response. Nonlinear Anal. Hybrid Syst. 1, 59–67 (2007)
Kar, T.K., Misra, S.: Influence of prey reserve in a prey-predator fishery. Nonlinear Anal. 65, 1725–1735 (2006)
Lotka, A.J.: Elements of Physical Biology. Williams and Wilkins Co, Baltimore, USA (1925)
Mahajan, G., Ramesha, M., Chauhan, B.S.: Response of rice genotypes to weed competition in dry direct-seeded rice in india. Sci. World J. 2014, 8 (2014)
Malthus, T.R.: An essay on principle of population and summary view of the principle of population. Penguin, England (1798)
Mochida, O.: Pomocea snails in the philippines. Int. Rice Res. Newsl. 12(4), 48–49 (1987)
Morrison, W.E., Hay, M.E.: Feeding and growth of native, invasive and non-invasive alien apple snails (ampullariidae) in the united states: invasives eat more and grow more. Biol Invasions 13, 945–955 (2011)
Moya-Larano, J.: Genetic variation, predator-prey interactions and food web structure. Phil. Trans. R. Soc. B 366, 1425–1437 (2011)
Na, S., Hong, S.Y., Kim, Y., Lee, K., Jang, S.: Estimating leaf area index of paddy rice from rapideye imagery to assess evapotranspiration in korean paddy fields. Korean J. Soil Sci. Fert. 46(4), 245–252 (2013)
Sen, A., Sarkar, M., Begum, M., Zaman, F., Ray, S.: Effect of spacing and weeding regime on the growth of brri dhan56. Int. J. Exp. Agric. 4, 20–29 (2014)
Walters, C., Christensen, V., Fulton, B., Smith, A., Hilborn, R.: Predictions from simple predator-prey theory about impacts of harvesting forage fishes. Ecol. Model. 337, 272–280 (2016)
Wang, S., Ma, Z.: Stabiity analysis: the effect of prey refuge in predator-prey model. Ecol. Model. 247, 95–97 (2012)
Yoshida, K., Hoshikawa, K., Wada, T., Yusa, Y.: Life cycle of the apple snail pomocea canaliculata (caenogastropoda:ampullariidae) inhibiting japanese paddy fields. Appl. Entomol. Zool. 44(3), 465–474 (2009)
Acknowledgements
This study was funded by Cordillera Studies Center and JA received research load credit from University of the Philippines Baguio.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Addawe, J., Baoanan, Z., Addawe, R. (2019). Modeling and Experimental Data on the Dynamics of Predation of Rice Plants and Weeds by Golden Apple Snail (Pomacea Canaliculata). In: Mohd, M., Abdul Rahman, N., Abd Hamid, N., Mohd Yatim, Y. (eds) Dynamical Systems, Bifurcation Analysis and Applications. DySBA 2018. Springer Proceedings in Mathematics & Statistics, vol 295. Springer, Singapore. https://doi.org/10.1007/978-981-32-9832-3_4
Download citation
DOI: https://doi.org/10.1007/978-981-32-9832-3_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9831-6
Online ISBN: 978-981-32-9832-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)