A Mathematical Model of the Mud Crab (Scylla Sp.) Involving Cannibalism and Refuge
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Abstract
Cannibalism, a common ecological phenomenon in various species, significantly impacts the population dynamics of mud crabs (Scylla sp.). This study develops a mathematical model to analyze the effects of cannibalism and protective refuges on the population sustainability of juvenile and adult mud crabs. The model identifies two equilibrium points: the extinction equilibrium and the coexistence equilibrium. Stability analysis using the Jacobian matrix reveals that the extinction equilibrium is locally asymptotically stable under specific conditions. In contrast, the coexistence equilibrium depends on the transition rate from juvenile to adult crabs and the effectiveness of protective measures. Numerical simulations demonstrate that increasing the transition rate and implementing higher levels of refuge protection mitigate the adverse effects of cannibalism, enhancing population stability. These findings provide a quantitative foundation for sustainable fisheries management and conservation strategies for mud crab populations in mangrove ecosystems.
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References
Katiandagho B. Komposisi nutrien tubuh pada kepiting bakau (Scylla spp) yang diberi stimulan molting. Agrikan: Jurnal Agribisnis Perikanan. 2012;5(2):78-82.
Hasan A. 1,7 Ton Kepiting Bakau Maluku Tembus Pasar ASEAN. Good News From Indonesia; 2023.
Boey PL, Maniam GP, Hamid SA. Biodiesel production via transesterification of palm olein using waste mud crab (Scylla serrata) shell as a heterogeneous catalyst. Bioresource Technology. 2009;100(24):6362-8.
Trivedi JN, Vachhrajani KD. Taxonomic account of genus Scylla ( de Haan , 1833 ) from Gujarat State , India with two new records of species Taxonomic account of genus Scylla ( de Haan , 1833 ) from Gujarat State , India with two new records of species. Arthropods. 2013;2(4).
Bir J, Islam SS, Sabbir W, Islam R, Huq KA. Ecology and reproductive biology of Mud Crab Scylla spp: A study of commercial mud crab in Bangladesh. International Journal of Academic Research and Development. 2020;5:1-7.
Karniati R. Mangrove ecosystem in north sumatran (Indonesia) forests serves as a suitable habitat for mud crabs (scylla serrata and s. olivacea). Biodiversitas. 2021;22(3):1489-96.
Mahbubi A. Developing a mud crab ecotourism business model in the mangrove forest ecosystems of Belitong UNESCO Global Geopark, Indonesia [Article]. Asian Journal of Forestry. 2025;9(1):13-23.
Dewiyanti I. Some Biological Aspects of Mud Crabs (Scylla serrata) in Mangrove Ecosystem, Banda Aceh and Aceh Besar [Conference Paper]. BIO Web of Conferences. 2024;92.
Hulathduwa Y. The effect of salinity on survival, bioenergetics and predation risk in the mud crabs Panopeus simpsoni and Eurypanopeus depressus [Article]. Marine Biology. 2007;152(2):363-70.
Chen X. Intracohort cannibalism of the mud crab, Scylla paramamosain, megalopae: Mechanism, dynamics and adaptive significance [Book Chapter]. Crabs: Global Diversity, Behavior and Environmental Threats. 2014:75-90.
Putri A, Bengen DG, Zamani NP, Salma U, Kusuma NP, Diningsih NT, et al. Mangrove Habitat Structure of Mud Crabs (Scylla serrata and S. olivacea) in the Bee Jay Bakau Resort Probolinggo, Indonesia. ILMU KELAUTAN: Indonesian Journal of Marine Sciences. 2022 jun;27(2):124-32.
Zhang F, Chen Y, Li J. Dynamical analysis of a stage-structured predator-prey model with cannibalism. Mathematical Biosciences. 2019;307:33-41.
Li J, Zhu X, Lin X, Li J. Impact of cannibalism on dynamics of a structured predator–prey system. Applied Mathematical Modelling. 2020;78:1-19.
Rayungsari M, Suryanto A, Kusumawinahyu WM, Darti I. Dynamical Analysis of a Predator-Prey Model Incorporating Predator Cannibalism and Refuge. Axioms. 2022;11(3):116.
Sanda T, Shimizu T, Dan S, Hamasaki K. Effect of body size on cannibalism in juvenile mud crab Scylla serrata (Decapoda: Brachyura: Portunidae) under laboratory conditions. Crustacean Research. 2021;50:87-93.
Zi X, Li Y, Li G, Jia B, Jeppesen E, Zeng Q, et al. A molting chemical cue (N-acetylglucosamine-6-phosphate) contributes to cannibalism of Chinese mitten crab Eriocheir sinensis. Aquatic Toxicology. 2023;263:106666.
Ly Van K, Arsa CP, Nguyen Thi NA, Tran Ngoc H. Use of different seaweeds as shelter in nursing mud crab, Scylla paramamosain : Effects on water quality, survival, and growth of crab. Journal of the World Aquaculture Society. 2022;53(2):485-99.
Zhou D, Liu L, Huang X, Fang W, Fu Y, Li Y, et al. Effects of different shelters on feeding, molting, survival, and growth of Scylla paramamosain. Frontiers in Marine Science. 2023;10.
Panigoro HS, Suryanto A, Kusumawinahyu WM, Darti I. Global stability of a fractional-order Gause-type predator-prey model with threshold harvesting policy in predator. Communications in Mathematical Biology and Neuroscience. 2021;2021(2021):63.
Panigoro HS, Anggriani N, Rahmi E. Understanding the Role of Intraspecific Disease Transmission and Quarantine on the Dynamics of Eco-Epidemiological Fractional Order Model. Fractal and Fractional. 2023 aug;7(8):610.
Ndii MZ. Pemodelan Matematika. Penerbit NEM; 2022.
Wilda RW, Monita D, Afli F, Kadafi AM. Analisis Kestabilan Model Predator Prey dengan Tingkat Usia pada Dua Prey dan Dua Predator dengan Fungsi Respon Monod HalDane dan Kanibalisme. Epsilon: Jurnal Matematika Murni dan Terapan. 2023;17(2):249.
Cai Y, Zhao C, Wang W, Wang J. Dynamics of a Leslie–Gower predator–prey model with additive Allee effect. Applied Mathematical Modelling. 2015;39(7):2092-106.
Allen LJS. An Introduction to Mathematical Biology. Pearson/Prentice Hall; 2007.